Question

A kite anchored in the sand at the beach is flying 122 feet in the air when 325 feet string is out.What angle of elevation is the kite making with the ground? Round to the nearest degree.

Answer 1

We can use the tangent function to find the angle of elevation:

tan(theta) = opposite / adjacent

where opposite is the height of the kite and adjacent is the length of the string.

tan(theta) = 122 / 325

theta = arctan(122/325)

Using a calculator, we find that theta is approximately 20.2 degrees.

However, this angle is not the angle of elevation that we want. We want the angle between the string and the ground, which is the complement of theta:

90 - theta = 90 - 20.2 = 69.8

Rounding to the nearest degree, the angle of elevation is approximately 70 degrees.

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