Question

a person walking 45m towards a tower in a horizontal line and observes angle of elevation of top changes from 45° to 60° . find the height of tower

Answer 1

Let's take height = h and Base = 45+b

Tan60 = h/b
b=h/root3 ----------eq 1

Tan45 = h/(45+b)
45+b = h

Now put value of b from eq 1

45+h/root3 =h
45 = h- h/root3
45 = (1-1/root3)h
45 = (root3-1/root3 )h
45root3 /root3 -1 = h

Thanks