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A rock dropped 182 feet from the top of the Leaning Tower of Pisa falls straight to the ground (off the right

side), to a point 22 feet from the base of the tower What ongle does the Tower make with the ground? Round
to the nearest whole degree.
I NEED ANSWERS NOW!!

2 Answers

4 votes

Answer:

i think 37237

Explanation:

User Shlok Nangia
by
3.3k points
5 votes

The angle the Leaning Tower of Pisa makes with the ground is approximately
\( 83^\circ \) when rounded to the nearest whole degree.

How did we get the value?

To find the angle that the Leaning Tower of Pisa makes with the ground, you can use trigonometry. The tangent of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Let
\( h \) be the height the tower makes with the ground, and
\( d \) be the horizontal distance from the base of the tower to the point where the rock lands.

The tangent of the angle
\( \theta \) is given by:


\[ \tan(\theta) = (h)/(d) \]

Given that the rock falls 182 feet and lands 22 feet from the base, we have
\( h = 182 \) and
\( d = 22 \). Plug these values into the formula:


\[ \tan(\theta) = (182)/(22) \]

Now, calculate the arctangent (inverse tangent) of this value to find the angle
\( \theta \):


\[ \theta = \arctan\left((182)/(22)\right) \]


\[ \theta = \arctan\left(8.2727}\right) \]

Therefore, the angle the Leaning Tower of Pisa makes with the ground is approximately
\( 83^\circ \) when rounded to the nearest whole degree.

User Priyank Bhatnagar
by
4.5k points