Question

From the top of a light house 40 m above the water the angle of depression of a small boat is 60 degree . Find how far the boat is from the base of the light house
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Answer 1

Answer:

Given,

Height of the light house is 40 m

Angle of depression is 60

∘

Let, the distance between the lighthouse and ship is x m

Now ,

In the △ABC,

We know,

tanθ=

base

perpendicular

tan60

∘

=

x

40

⇒

1

3

=

x

40

⇒x=

3

40

⇒x=

3

40

×

3

3

⇒x=13.33

3

Hence, distance between lighthouse and ship is x=13.33

3

m

Answer 2

Answer:

40√3/3

Step-by-step explanation: