Question

A falcon flying at a height of 200 yards spots a sparrow flying at a height of 150 yards. The location of the sparrow makes an angle of 40° from the horizontal line through the falcon's location. What is the distance x between the falcon and the sparrow? Assume that the ground beneath the birds is level. 43 yards 60 yards 65 yards 78 yards

Answer 1

78-D

Explanation:

Answer 2

With the information you can draw this triangle:

angle: 40°

opposite-leg: 200 yards - 150 yards = 50 yards

hypotenuse = distance between the falcon and the sparrow = x

Trigonometric ratio: sin (40°) = opposite-leg / hypotenuse

sin(40°) = 50 yards / x => x = 50 yards / sin(40°) = 77.8 yards ≈ 78 yards.

Answer: 78 yards