Question

Question 5
The height of a light house is 20 meters above sea level. The angle of depression (from the top of the
lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?
A
16 m
B
Latek 1
С
20 m
Activ
D
30 m
​

Answer 1

Answer:

Let A B is a 20 M high light-house and a ship is at the point C.

According to the question

A B=20 m,∠DBC=∠ACB=30

∘

In △ABC

tan30

∘

=

AC

A B

3

1

=

x

20

x=20

3

x=20×1.732

x=34.64 metres