Question

A boy 5m tall observes a bird on top of a pole 20m high at an angle of elevation 30 degree. calculate the horizontal distance between the boy and the pole.

Answer 1

Answer:

Step-by-step explanation:

Since the boy is 5m tall, the vertical distance between the top of the pole and the boys head is given by Height of pole- Height of boy

                          = 20 -5

                           = 15 meter

The angle of elevation is given by 30degree

tan∅= opposite side length÷adjacent side length

In this case opposite side length is given by 15 meter

∅=30degree

tan30=1÷√3

(1÷√3)=15÷Adjacent side

adjacent side=15√3

Horizontal distance between the boy and the pole is 15√3 m