Question

(b)The angle of elevation of top of a hill
from foot of tower is 60° & its angle of elevation of top of tower from the
foot of hill is 30°.If the tower is 20 m high. Find:
(i) Height of hill
(ii) Distance between hill and tower
[4]​

Answer 1

Answer:

(1)60m (2)20√3

Step-by-step explanation:

let dis. b/w the hill and the tower be 'x' and height of hill be 'H'

tan30° = 20/x =>1/√3 = 20/x

So x = 20√3

tan60° = H/x => √3 = H/20√3

H = 20√3 × √3 = 60m ,x = 20√3m