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 a

Question

3 years ago

5

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 a

ngle 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.

Mathematics

1 answer:

Sonja [21] · Answer 1 · 2022-03-17T21:25:51+03:00

Sonja [21]3 years ago

4 0

The difference of the heights of the falcon and the sparrow:
200 - 150 = 50 yards
sin 40° = 50 / x
x = 50 / sin 40°
x = 50 / 0.6428
x = 77.8 ≈ 78 yd
Answer:
The distance between the falcon and the sparrow is D ) 78 yards.