Question

Please answer the following geometry question. Thank you.

Answer 1

Answer:

1,092.8 ft

Step-by-step 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:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(48) = \frac{y}{984}$

Multiply both sides by 984

$tan(48) \times 984 = \frac{y}{984} \times 984$

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