Question

From the top of a lighthouse, an observer looking at a ship makes angle ofdepression of 60°. If the height of the lighthouse is 90 metre, then find how far the ship is from the lighthouse. (√3 =1.73)

Answer 1

Here is your answer in this picture

Answer 2

Answer:

Distance of ship from base of lighthouse = 51.9 m

Step-by-step explanation:

In the question,.

The angle of depression of the ship = 60°

Height of the lighthouse, h = 90 m

Let, us say the distance of the ship from the lighthouse is = x

So,

In the triangle made as shown in the figure, we can say that,

$tan60=\frac{h}{x}\\\sqrt{3}=\frac{90}{x}\\x=\frac{90}{\sqrt{3}}=30\sqrt{3}\\x=51.9\ m$

Therefore, the distance of the ship from the base of the lighthouse is given by,

x = 51.9 m