Question

An engineer stands 145 feet from a building. He uses a transit telescope that stands 5 feet from the ground and views the top of the building. He measures the angle of elevation to be 50° from the horizontal, as shown in the diagram below.

Please answer ASAP!

Answer 1

The height of the building can be calculated using the angle of elevation.  Therefore, the height of the building is 177.80 ft.

The situation forms a right angle triangle.

What is angle of elevation ?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

Therefore, the part of the building is the opposite side of the right triangle formed.

The engineer distance from the building is the adjacent side of the right triangle.

Therefore,

tan 50° = opposite / adjacent

tan 50° = x / 145

cross multiply

x = 145 × 1.19175359259

x = 172.804270926

x = 172.80

height of the building = 5 + 172.80 = 177.80 ft

learn more on angle of elevation here: https://brainly.com/question/25892318