A boy and a girl are two friends from the same college and they were studying in ornithology. It is a branch of zoology which deals with the study of birds. Now they observed the elevation of birds, their position and different actions of birds.

(1) What is the height of the bird flying from the ground level?
(ii) A boy standing on a horizontal plane, find a bird flying at a distance of 200 m from him at an elevation of 30°. A girl standing on the root of a 50 m high building, if the angle of elevation of the same bird to be 45degree. A boy and a girl are an opposite sides of the bird. Find the distance of the bird from girl.

2 answers

Height of bird ---- h
according to my sketch:
h/200 = sin30°
h = 200sin30 = 100

So the vertical height of bird above the girl is 50 m
let the distance between girl and bird be x

sin 45° = 50/x
x = 50/sin45 = appr 70.7 m
Thanks