The leaning tower of Pisa is approximately 179 ft in “height” and is approximately 16.5 ft out of plumb. Find the angle at which it deviates from the vertical.

Answers

Answer 1

The angle at which the leaning tower of Pisa deviates from the vertical is approximately 5.31 degrees.

To find the angle at which the leaning tower of Pisa deviates from the vertical, we can use the concept of tangent function.

First, we need to calculate the distance that the top of the tower is displaced from the vertical axis. This can be done using the Pythagorean theorem, which states that the displacement (d) is equal to the square root of the height of the tower (h) squared plus the amount the tower is out of plumb (p) squared:

d = √(h² + p²)

d = √(179² + 16.5²)

d = 180.14 ft

Next, we can use the tangent function to find the angle of deviation (θ):

tan(θ) = p/h

tan(θ) = 16.5/179

θ = tan⁻¹(16.5/179)

θ ≈ 5.31 degrees

To learn more about angle click on,

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Related Questions

Find the volume.
34 cm
12 cm
63 cm

Answers

Answer:

25704

Step-by-step explanation:

L×w×h length times width times height

3. Amelia is at the mall buying more
school clothes. She purchases one pair
of jeans for $32.00 and 2 tops for
$23.99 each. If sales tax is $5.80, what
was the final cost of her clothes

What is the answer?

Answers

Answer:

The final cost of Amelia's clothes will be $79.98 without sales tax and $85.78 with sales tax.

Step-by-step explanation:

To find the final cost of Amelia's clothes without sales tax, start by writing an equation for the problem, and the equation will look like                                   $[tex]32.00+2([/tex]$[tex]23.99)=x[/tex]. Next, simplify the equation, which will look like             $[tex]32.00+[/tex]$[tex]47.98=x[/tex]. Then, solve the equation, which will look like $[tex]79.98=x[/tex]. The final cost of Amelia's clothes without sales tax will be $79.98.

To find the final cost of Amelia's clothes with sales tax, start by writing another equation for the problem, and this equation will look like                     $[tex]32.00+2([/tex]$[tex]23.99)+[/tex]$[tex]5.80=x[/tex]. Next, simplify the equation, which will look like  $[tex]32.00+[/tex]$[tex]47.98+[/tex]$[tex]5.80=x[/tex]. Then, solve the equation, which will look like           $[tex]85.78=x[/tex]. The final cost of Amelia's clothes with sales tax will be $85.78.

The length of a rectangle of area 45 sq cm is 9 cm. What is its breadth ?​

Answers

Answer:

breadth = 5 cm

Step-by-step explanation:

Area of a rectangle = length × breadth

breadth = Area of a rectangle / length

breadth = 45 cm²/ 9cm

breadth = 5 cm

PLEASEEE HELP ASAP!!!

A 90% confidence interval for a proportion is found to be (0.52, 0.58) . What is the sample proportion?

Answers

you want a 95 percent confidence interval, your z*-value is 1.96. The red light was hit 53 out of 100 times. So ρ = 53/100 = 0.53. Take the square root to get 0.0499.

Answer:

Its 0.55

Step-by-step explanation:

I just took the test

Use the graph of the function. To answer the question

Write the domain of the function given in the graph in set builder notation

A. {x|x>_10}
B. {x|x>_0}
C. {x|x>10}
D. {x|x>0}

Answers

Answer:

A. {x| x ≥ 10}

Step-by-step explanation:

in x-axis, the graph starts from 10 toward right.

it means x ≥ 10

Danny got a raise and now makes $58,965.95 a year. Round this number to the nearest:
a) dollar
b) thousand dollars
c) ten thousand dollars

Answers

a) $58966

b) $59000

c) $60000

If 5 is equal to 11
And 7 is equal to 15
And 9 is equal to 19
What is 12 equal to ?????

Answers

12 is equal to 25. this pattern is double the first number and add one.

Answer:

25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.

In how many ways can we pick three different numbers out of the group:
1, 2, 3, ..., 100
such that the largest number is larger than the product of the two smaller ones? (The order in which we pick the numbers does not matter.)

Answers

Answer:

i don't know 56,78,95

Step-by-step explanation:

Hundred is the right answer because you are. Ugh f f. Turntable t

What number will make this statement true?
Help due today!
No links

Answers

Answer:

8

Step-by-step explanation:

0-(-8) = 8 ///////////

Answer:

8

Step-by-step explanation:

Let the number be x.

Then,

- 8 + x = 0

=> x = 0 + 8

=> x = 8

Last question of the day I need help with this.

Answers

The answer is 64.5 in2

Write (2x)^4 without exponents

Answers

Answer:

16x^4

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[see below]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression:}}\\\\(2x)^4\\----------------\\\rightarrow (2x)^4 \text{ is 2x multiplied 4 times.}\\\\\rightarrow (2x)^4 = \boxed{2x * 2x * 2x * 2x}\\\\\rightarrow 2x * 2x * 2x * 2x = \boxed{16*x^4}\\\\\rightarrow 16*x^4 = \boxed{16 * x * x * x * x}\\\\\text{The boxed answers with exception to the second one could be possible answers.}[/tex]

»»————- ★ ————-««

⸻⸻⸻⸻

Hope this helps you. I apologize if it’s incorrect.  

what??? I need help urgent :( i didn’t focus in math

Answers

Answer: g(x) = (x+1)-3

Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!

Simplify the complex question: 5/8 / 4/5

Answers

Answer:

The choose 25/32

Step-by-step explanation:

[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \times \frac{5}{4} = \frac{25}{32} [/tex]

I hope I helped you^_^

Answer:

A. [tex] \frac{25}{32} [/tex] (first option)

Step-by-step explanation:

[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \div \frac{4}{5} [/tex]

[tex] \frac{5}{8} \times \frac{5}{4} = \frac{5 \times 5}{8 \times 4} [/tex]

[tex] = \frac{25}{32} [/tex] ✅

[tex]7w+2=3w+94[/tex]

Answers

Answer:

7w+2=3w+94

Subtract 3w from both sides.

7w+2−3w=94

Combine 7w and −3w to get 4w.

4w+2=94

Subtract 2 from both sides.

4w=94−2

Subtract 2 from 94 to get 92.

4w=92

Divide both sides by 4.

w=492

Divide 92 by 4 to get 23.

w=23

Answer:

23

Step-by-step explanation:

7w + 2 = 3w + 94                      Subtract 2 from both sides

7w = 3w + 94 - 2

7w = 3w + 92                             Subtract 3w from both sides

4w = 92                                      Divide by 4

w = 92/4

w = 23

solve for X
[tex]4({x}^{2} - 250) \leqslant 65x[/tex]

Answers

Answer:

54489jf is a great resource for the following in exponential form and the following in exponential form is a great place to work for

Akilometer is approximately 1094 yards . Toby runs a 6 km race. About how many yards does he run?​

Answers

The answer is 6564 yards. You had to do 1094 x 6.

Find the length of UT.
с
12
T
14
W
2x+2U
2x + 5
A. 32
OB. 43
C. 21
OD. 39

Answers

Answer: A. 32

Concept:

Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.

The intersecting chord theorem states that when two chords intersect at a point, P, the product of their respective partial segments is equal.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Given information

CW = 12

TW = 14

VW = 2x + 5

UW = 2x + 2

Given expression deducted from intersecting chord theorem

CW · VW = TW · UW

Substitute values into the expression

(12) · (2x + 5) = (14) · (2x + 2)

Expand parentheses and apply the distributive property

24x + 60 = 28x + 28

Subtract 14x on both sides

24x + 60 - 24x = 28x + 28 - 24x

60 = 4x + 28

Subtract 28 on both sides

60 - 28 = 4x + 28 - 28

32 = 4x

Divide 4 on both sides

32 / 4 = 4x / 4

x = 8

Given expression deducted from the segment addition postulate

UT = UW + TW

Substitute values into the expression

UT = 2x + 2 + 14

Substitute x value into the expression

UT = 2 (8) + 2 + 14

UT = 16 + 2 + 14

Combine like terms

UT = 32

Hope this helps!! :)

Please let me know if you have any questions

-1/3 - (-1/2) plz help I am confused

Answers

Answer:

[tex] \frac{ - 1}{3} - ( - \frac{1}{2} ) \\ \frac{ - 1}{3} + \frac{1}{2} ( - \times - = + ) \\ = \frac{ - 2 + 3}{6} \\ = \frac{1}{6} \\ thank \: you[/tex]

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} - ( - \frac{1}{2} )[/tex]

[tex] - \frac{1}{3} + \frac{1}{2} [/tex]

[tex] \frac{ - 2 + 3}{ 6} [/tex]

[tex] = \frac{1}{6} [/tex]

(b) In the figure alongside, AB I BC and a - b= 10° then find the values of a and b.​

Answers

a-b=10--(1)

Same side interiors(vertical) have sum 180°

a+b=180--(2)

From both equations

2a=190a=95

And

a-b=10b=95-10b=85

Find the expression for f(x) that makes the following equation true for all values of x.

(81^x)/9^5x-8=9^f(x)

Answers

Answer:

Step-by-step explanation:

As it is bad written, i suppose it is

[tex]\dfrac{81^x}{9^{5x-8}} =9^{f(x)}\\\\9^{2x-(5x-8)}=9^{f(x)}\\\\2x-5x+8=f(x)\\\\\\\boxed{f(x)= -3x+8}\\[/tex]


Fraction:
Decimal:
Word Form:

Answers

Answer:

Fraction:

Decimal:

Word Form:

Step-by-step explanation:

the bill for dinner came to $75.48. The four Freinds decided to leave a $15.00 tip. If thwy share the bill equally, how much will each friend pay?

Answers

I believe the answer would be $22.62

Fill in the blank to make the number divisible by 3: 6178_9​

Answers

Answer:

2, 5, or 8

Step-by-step explanation:

ccalculator go brr

Answer:

617829/3=205,943

617859/3=205,953

617889/3=205,963

Step-by-step explanation:

617819/3=​205,939.666

617829/3=205,943

617839/3=205,946.333

617849/3=205,949.666

617859/3=205,953

617869/3=205,956.333

617879/3=205,959.666

617889/3=205,963

617899/3=205,966.333

The Angles Below Form a Linear Pair what is the measurement of angle DBC

Answers

Answer:

<DBC = 45

Step-by-step explanation:

The two angles add to 180

<ABC + <DBC = 180

135+ <DBC = 180

< DBC = 180-135

<DBC = 45

Twenty-four less than ten times a number is a negative one hundred sixteen . Find the number

Answers

Answer:

The answer is -9.2

Step-by-step explanation: You write 10x -24 = -116 and solve for x. Solving for x means to isolate the x.

1st step is to get rid of -24 by +24 on both sides of the equation:

       10x- 24 =  -116

             +24      +24

         Now equation is 10x = -92

2nd step is get rid of 10 by dividing the 10 on both sides of equation:

         10x = -92

        10       10

Leaving you with final solution of x= -9.2

Which group of number shows the values of the 4s in 44,492?

Answers

Answer:

The values of the 4s in 244 is, 4 and 40

Explanation:

A place value  is used to understand the value of each digit based on the place or position.

Given number is 244.

Since, there are 2 fours in 244 ;

The last digit i.e, 4 on the right is in the ones' place with value= 4, and

Answer:

The values of the 4s in 244 is, 4 and 40

Explanation:

A place value  is used to understand the value of each digit based on the place or position.

Given number is 244.

Since, there are 2 fours in 244 ;

The last digit i.e, 4 on the right is in the ones' place with value= 4, and

Value of a number in the tens' place is ten times the value of the same number in the one's place.

then, the second one at ten's place with value,= 40.

Step-by-step explanation:

Pls pls pls help me, im begging youuuk

Answers

Answer:

angle f = 147 degree and angle e = 33degree

Step-by-step explanation:

here,

angle d= 147 degree

angle f = ?

angle e= ?

we know that,

angle d= angle f (Being alternate angle always be equal.)

or, 147 degree = angle f

Hence, angle f is 147 degree.

And,

angle d sum angle e= 180 degree(being cointerior angle)

or, 147 degree add angle e=180 degree

or, angle e= (180-147) degree

or, angle e= 33 degree

Hence, angle e is 33 degree.

so, angle f=147 degree

angle e= 33 degree

ANS

angle e= 33 degree

Answer:

angle f=147 degrees (alternate angles)

angle e=    33 degrees

Step-by-step explanation:

angle d =147 degrees

angle f=147 degrees (alternate angles)

angle e +angle d=180 (allied angles)

        e+ 147         =180

                   e      =180-147

                    e     =    33 degrees

The linear function f with values f(-6) = 8 and f(5) = 3 is f(x) =

Answers

You can compute the slope given that you have two points [tex](-6,8)[/tex] and [tex](5,3)[/tex].

[tex]m=\frac{3-8}{5-(-6)}=\frac{-5}{11}=-\frac{5}{11}[/tex]

Your function has a form of,

[tex]f(x)=mx+n[/tex]

So we also need to find n. To do that, substitute y and x for some point we already know, I will pick point [tex](5,3)[/tex] then solve for n,

[tex]3=-\frac{5}{11}\cdot5+n[/tex]

[tex]n=3+\frac{5}{11}\cdot5[/tex]

[tex]n=3+\frac{25}{11}[/tex]

[tex]n=\frac{33+25}{11}=\frac{58}{11}[/tex]

So the function is,

[tex]f(x)=-\frac{5}{11}x+\frac{58}{11}[/tex]

Hope this helps :)

6 let A= (1,4,9,16) and B=(2,3,5,7). Find AS
Prove that A-B=( )​

Answers

zip file, and phrase, angle of applicable. where are u doing now I need to make a sentence, but it was not the same time for changing the full range. uses the nation, angle and phrase, angle. uses a

The double number line shows the approximate number of ounces in a certain number of pounds:

Based on the number line, about how many ounces are there in 6 pounds?

24 ounces
80 ounces
96 ounces
112 ounces

Answers

Answer:

the answer is 96 ounces i think

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