Question

From the top of the lighthouse, an observer looks at the ship and finds the angle of depression to be 60 degree if the height of light house is 84 metres then find how far is the ship from the light house?

Plz answer the question stepwise I will mark them as brainlist ​

Answer 1

Answer:

Let AB be the lighthouse and C be the

position of the ship from the

lighthouse.

Suppose the distance of the ship from

the lighthouse be x m.

Here, AB = 100m and ∠ACB = 30°

tan 30° = AB/BC

=> 1/√3 = 100/x

=> x = 100√3 m

Thus, the ship is 100√3 m away from the lighthouse.