Question

0) A girl on a ship standing on a wooden platform,which is 50 m above water level ,observes the angle of elevation of the top of hill as 30 0 and the angle of depression of the base of the hill as 600 , calculate the distance of the hill from the platform and the height of the hill.​

Answer 1

Answer:

Let AB=10m, cliff of a ship where man is standing

Let CE be the hill.

CD=AB=10m

In △ADE

tan60°=

x

h

​

3

​

x=h

x=

3

​

h

​

⟶(1)

In △ABC

tan30°=

x

10

​

3

​

1

​

=

x

10

​

x=10

3

​

⟶(2)

We have two equations (1) & (2), Multiplying them we get,x 2

=10h

h=30m

∴CE=CD+DE=10+30=40m