Question

The angle of depression of a car parked on the road from the top of a 150-m-high tower is 30°. The distance of the car from the tower is ______.

विकल्प

• `50sqrt(3)` m

• `150sqrt(3)` m

• `150sqrt(2)` m

• 75 m

Answer 1

The angle of depression of a car parked on the road from the top of a 150-m-high tower is 30°. The distance of the car from the tower is `underlinebb(150sqrt(3) m)`.

Explanation:

Let AB be the tower and C be the position of the car on the ground such that ∠ACB = 30°.

Let AC = x metres.

Then, `(AC)/(AB) = cot 30^circ`

⇒ `x/150 = sqrt(3)`

⇒ `x = 150sqrt(3)`