Question

The tallest television transmitting tower in the world is in North Dakota. From a point on level ground 5280 feet​ (one mile) from the base of the​ tower, the angle of elevation is 29.4 degrees. Approximate the height of the tower to the nearest foot.

Answer 1

2975 foot

Explanation:

Let the tower be BC as shown in the diagram.

The distance from a point A on the level ground to the base B of the tower is 5280 feet.

We want to determine the height BC of the tower.

Using trigonometry

Tan θ =Opposite/Adjacent

Tan 29.4°=BC/5280

BC= 5280 X Tan 29.4°

=2975.12709969007

The height of the tower =2975 foot(to the nearest foot)