Question

The angle of 68 elevation to the top of a building is found to be from the ground at a distance of 50 feet from the base of the building. Using this information, which expression below could be used to calculate the height of the building?

Answer 1

123.75 feet.

Explanation:

Let AB be the height of Building.

BC be length from the base of building.In Δ ABC,

By using trigonometric ratio,

`(AB)/(BC)`=tan(68°)

`(AB)/(50)`=tan(68°)

`(AB)/(50)`=2.475

[tan(68°)=2,475]

AB=2.475×50

AB= 123.75 feet

Thus, the height of the building is 123.75 feet.