Question

The angle of elevation of the top of the tower from a point on the ground is 15 degree on walking 100m towards the tower the angle of elevation is found to be 30 degree calculate the height of the tower (where tan15 degree = 2 - root 3)

Answer 1

here is the answer, check it

Answer 2

tan 15degree = h/x + 100

2-√3 = h/100+x eq ist

tan30 = h/x

1/√3 = h/x

x = h√3 put in eq ist

2-√3 = h/100 + h√3

(100 + h√3)(2-√3) = h

200-100√3+ 2h√3-√3h = h

2h√3 - 4h = 100(√3-2)

2h(√3 - 2) = 100(√3 - 2)

2h = 100

h = 100/2

h = 50m