Question

the angle of elevation to the top of a very tall building is found to be 11° from the ground at a distance of 1 mi from the base of the building. using this information, find the height of the building. (round your answer to the nearest foot.)

Answer 1

The height of the building = 1026.328ft

Given the angle of elevation = 11°

The angle of elevation is the angle formed between the horizontal distance to the base of the building and the line of sight to the top of the building.

We know that tan x = opposite side/adjacent side.

Here the opposite side gives the height of the building and the adjacent side is the distance to the base of the building on the ground.

Distance to the base of the building on the ground = 1 mile = 5280 ft.

So tan 11° = h/5280

⇒ h= tan 11° x 5280 = 0.194 x 5280 = 1026.328 ft

So the height of the building = 1026.328 ft

Learn more about angle of elevation at https://brainly.com/question/25748640

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