Question

A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is `10sqrt3` m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is ______.

पर्याय

• 30°

• 45°

• 60°

• 90°

Answer 1

A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is `10sqrt3` m away from the base of the tree, then the angle of depression of the snake from the eye of the peacock is 30°.

Explanation:

Given, Height of tree (AB) = 10 m

Distance of snake from the base of the tree (BC) = `10sqrt3` m

Let the angle of depression be θ.

Using the tan function:

tan θ = `("Opposite")/("Adjacent")`

tan θ = `(10)/(10sqrt3)`

tan θ = `1/sqrt3`

tan 30° = `1/sqrt3`

θ = 30°