trigonometrey homework

Question

A vertical antenna is mounted atop a 53 foot pole. From a point on level ground 70 feet from the base of the pole, the antenna subtends an angle of 11.3°. Find the length of the antenna.

Answer 1

Draw and label a diagram.

A is the top of the antenna.

C is the base of the pole.°

B is the point on the ground.

∠B = 78.7°

x represents the height of the antenna

(x + 53) / 70 = tan 78.7

 

Can you solve for x?