Question

as observed from the top of a hundred m high lighthouse, the angles of depression of the two ships are 30 an 45 . find the distance btw the two ships.(98 points)

Answer 1

Answer:

Step-by-step explanation:

Given :

Height of light house = 100 m

The angles of depression of 2 ships are 30 and 45 degree.

To Find: If one ship is exactly behind the other on the same side of the light house, then find the distance between the 2 ships

Solution :

Refer the attached figure

In ΔABC

AB = Height of tower = Perpendicular = 100 m

BC =  Base

∠ACB = 45°

We will use trigonometric ratio to find the length of  base

Use √3 = 1.732

⇒ BD= 100 * 1.732

⇒ BD = 173.2 m

Now we are required to find the distance between the 2 ships i.e. CD = BD-BC.

So,  CD = BD-BC.

CD = 173.2 m - 100 m

CD= 73.2 m

Thus the distance between the 2 ships is 73.2 m

Answer 2

heya..

here is you answer...