Question

MONUMENTS The Leaning Tower of

Pisa in Italy is about 55.9 meters tall
and is leaning so it is only about
55 meters above the ground. At what
angle is the tower leaning?​

Answer 1

79.7 degrees to the nearest tenth.

Explanation:

55.9 is the hypotenuse of the right triangle formed by the perpendicular height and the tower itself, and the height is the opposite side to the required angle.

So we have sin X = 55/55.9 = 0.9839.

X = 79.70.

Answer 2

Answer: The tower is leaning at 79.70°.

Explanation:

Hi, to answer this question we have to apply a trigonometric formula.

Since we know the opposite side and hypotenuse of the triangle formed by the tower (see attachment) we can apply:

Sin θ = Opposite Side/Hypotenuse

Replacing with the values given:

Sin θ = 55/55.9

Solving for θ

θ = arc sin 55/55.9 = 79.70°

The tower is leaning at 79.70°.

Feel free to ask for more if needed or if you did not understand something.