Question

7. A man standing on the deck of a ship is 10 m above water level. He observes that
the angle of elevation of the top of a cliff is 60", and the angle of depression of the
base is 30. Calculate the distance of the top of the diff from the ship and the
height of the cliff​

Answer 1

Answer:

40

Step-by-step explanation:

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

solution