Question

From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is 67°. Estimate the height of the building to the nearest foot

Answer 1

The height of the building to the nearest foot is 99 feet.

Explanation:

Height of the building , p= x

Distance between the base of the height from where angle of elevation is 67° = b = 42 ft

According trigonometric ratios:

`\tan \theta =(p)/(b)`

`\tan 67^o=(x)/(42 ft)`

(tan 67° = 2.3558)

`x=2.3558* 42 ft=98.94 ft\approx 99 ft`

The height of the building to the nearest foot is 99 feet.