Question

Mia is standing 210 yd from a radio tower.

Answer 1

height = tan(11) x 210

height = 40.81 yards

 rounded to nearest tenth = 40.8 yards

Answer 2

Solution:

The height of the radio tower is 40.8 yd.

Explanation:

Let us draw a diagram for the given situation. In the attached diagram AB is the radio tower and Mia is standing at point C.

The angle of elevation is 11°. Hence, angle C is 11°.

Let the height of the tower is h.

In triangle ABC, we have

$\tan \theta = \frac{AB}{BC} \\\\\tan 11^{\circ}=\frac{h}{210} \\\\h=210\tan 11^{\circ}\\\\h=40.8$

Therefore, the height of the radio tower is 40.8 yd.