Question

From the top of the light house 40 m above the water level the angle of depression is of a small boat is 60 degree find how far boat is form the light house

Answer 1

angle of depression = 60° = angle of elevation from the boat

height of light house = 40m

let the distance btw the light house and boat be x

tanФ= opp/adj

tan60°= 40/distance btw the light house and boat

√3=40/x

x=40/√3

Or

x= 40√3/3

Answer 2

Answer:

The distance between boat and the light house is 23.09 m

Step-by-step explanation:

Given, height of light house from ground level = 40 m

angle of depression to the boat = 60°

To find: distance between boat and light house

tan 60 = $\frac{AB}{BC}$

$\sqrt{3} = \frac{40}{BC}$

$BC = \frac{40}{\sqrt{3} }$

BC = 23.09 m

Therefore, the distance between boat and the light house is 23.09 m