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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.

User Jason Rice
by
6.2k points

2 Answers

2 votes

Answer:

78

Explanation:

User Satish Gupta
by
6.7k points
7 votes

Answer:

77.79 yard

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

A falcon flying at a height of 200 yards spots a sparrow flying at a height of 150 yards-example-1
User Yuriy Goldshtrakh
by
6.9k points
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