Question

If you stand 57 feet from the base of a building, you need to look up at a 55° angle to see the top of

the building. What is the height of the building? Round your answer to the nearest tenth.

Answer 1

Using the tangent function in trigonometry, the height of the building, when looking up at a 55° angle from 57 feet away, is approximately 79.1 feet tall when rounded to the nearest tenth.

Step-by-step explanation:

To calculate the height of the building when standing 57 feet from its base and looking up at a 55° angle, we can use trigonometry specifically the tangent function which is the ratio of the opposite side to the adjacent side in a right-angled triangle. The building forms the opposite side, and the distance from the building forms the adjacent side. The tangent of the angle provided will thus give us the height when multiplied by the distance from the building.

The calculation is as follows:

height = tangent(55°) * 57 feet
height ≈ 79.1 feet (rounded to the nearest tenth)

Answer 2

81.404 Ft=x hope that helps