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.
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.
