Question

Please answer the following geometry question. Thank you.

Answer 1

1,092.8 ft

Explanation:

The information here gives us a right triangle.

Let "y" represent the length of the base. (Adjacent length)

Height of the tower = 984 ft (opposite length)

Angle of elevation = 48° (reference angle)

Applying trigonometric ratios formula, we would have:

`tan(\theta) = (opposite)/(adjacent)`

Plug in the values

`tan(48) = (y)/(984)`

Multiply both sides by 984

`tan(48) * 984 = (y)/(984) * 984`

`1,092.8 ft = y` (nearest tenth)