angle of elevation of the top of the hill at the foot of tower is 60 degrees and the angle - Maths - Some Applications of Trigonometry

Question

angle of elevation of the top of the hill at the foot of tower
is 60 degrees and the angle of elevation of tower from the foot of
the hill is 30 degrees if tower is 50m high find the height of
hill

Tushar Kohli · Accepted Answer

Let the height of the hill, CD be h m Height of the tower, AB = 50 m In Î”BCD,

In Î”ABC,

Comparing (i) and (ii), we get

Thus, the height of the hill is 150 m

angle of elevation of the top of the hill at the foot of tower is 60 degrees and the angle of elevation of tower from the foot of the hill is 30 degrees. if tower is 50m high find the height of hill