Question

from the top of Lighthouse 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 Lighthouse​

Answer 1

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Explanation:

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  △ A B C ,  

We know,  

tan θ = p e r p e n d i c u l a r b a s e

tan 60 ∘ = 40 x

⇒ √ 3 1 =40 x

⇒ x = 40 √ 3

⇒ x = 40 √ 3 × √ 3 √ 3

⇒ x = 13.33 √ 3

Hence, distance between lighthouse and ship is  x = 13.33 √ 3 m