Question

You are standing 60 ft from a building and to view the very top of the building requires you to look up at an angle of 60°. What is the height of the building to the nearest whole number?

Answer 1

Answer: the height of the building is 104 feet

Explanation:

The triangle ABC formed is shown in the attached photo. It is a right angle triangle. The height if the building is represented by x feet.

To determine the value of x, we would apply trigonometric ratio.

Tan # = opposite side/adjacent side

From the information given,

# = 60 degrees

Opposite side = x feet

Adjacent side = 60 feet.

Tan 60 = x/60

x = 60tan60 = 60 × 1.7321

x = 103.926

x = 104 feet to the nearest whole number.