(Q7) Rajender observes a person standing on the ground from a helicopter at an angle of depression 45^o. If the helicopter flies at a height of 500 meters from the ground, what is the distance of the person from Rajender?

Solution :

From the figure, in triangle OAB

OA = 500 meters and ∠POB = ∠ABO = 45^o

OB = distance of the person from Rajender = x

(we know the opposite side of ∠OBA and we need to find hypotenuse OB in the triangle OAB.Hence, we need to consider the ratio “sin”.)

x = √ meters

(The distance from the person to Rajendar is √ m)