Question

A man observes the angle of elevation of a bird to be 30degrees. He then walks 100m towards the bird which is stationary and finds that the angle of elevation is 60degrees. Find the height at which the bird is sitting

Answer 1

tan 30=h/100+x
h=(100+x)/√3
tan60=h/x
h=√3x
equate both
√3x=(100+x/)√3
3x=100+x
2x=100
x=50
.'. h=50√3
h=50*1.732
h=86.6meters

Answer 2

tan 60 = h/x 
x =h
tan 30 = h/100+x
1/ = h/100+x
100 +x = h
100+x =xX
100+x = 3x
100 =2x
x = 50 m