Question

(b) From the window of a house of height 60 m a boy observes a car on the other side of the road and finds the angle of depression to be 45. Find the distance between the foot of the house and the car.

Answer 1

Answer:

Step-by-step explanation:

Hypotenuse of Δ = 60m

Angle of depression = 45°

We can use sine to get the distance between car and foot of house,

⇒ sin 45 = perpendicular ÷ hypotenuse

⇒ sin 45 = perpendicular ÷ 60

⇒ sin 45 × 60 = perpendicular

⇒ perpendicular = 51.054m

The distance between foot of house and car is 51.054m.

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