The angle of elevation of the top of a tower at a point on the ground

1.	The angle of elevation of the top of a tower at a point on the ground is 30degree. If the height of the tower is tripled,find the angle of elevation of the top at the same point.
Answer» Let AB be the height of the tower and BC be the distance between the tower and the observation point. Let∠ACBbe the angle of elevation. Thereforetan30=h/d⇒h/d=1/√3............(1) If the height is tripled , let the angle of elevation beθ. tanθ=3h/d=3h/dtanθ=31/√3=√3θ=60 Thus the required angle is 600 deg.

The angle of elevation of the top of a tower at a point on the ground is 30degree. If the height of the tower is tripled,find the angle of elevation of the top at the same point.

Answer»

Let AB be the height of the tower and BC be the distance between the tower and the observation point.

Let∠ACBbe the angle of elevation.

Thereforetan30=h/d⇒h/d=1/√3............(1)

If the height is tripled , let the angle of elevation beθ.

tanθ=3h/d=3*h/dtanθ=3*1/√3=√3θ=60

Thus the required angle is 600 deg.