Afalcon 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.

77.79 yard

Step-by-step explanation:

Given in the question that,

falcon flying at a height of 200 yards

sparrow flying at a height of 150 yards

Suppose, distance between Falcon and Sparrow = x yards

Step 1

Difference between the height of falcon and sparrow = 200-150 = 50 yards

Step 2

We will use Trigonometry Identity to find the distance between Falcon and Sparrow

SinФ = opposite / hypotenuse

Sin(40) = 50 / x

x = 50 / Sin(40)

x = 77.79 yard