Question

Juanito is flying a kite at the park and realizes that all 500 feet of string are out. Margie measures the angle of the string with the ground with her clinometer and finds it to be 42.5. How high is Juanito's kite above ground?

Answer 1

Answer: the height of the kite above the ground is 337.8 feet

Explanation:

The diagram illustrating the scenario is shown in the attached photo. The triangle ABC formed is a right angle triangle. The height of the kite above the ground is x feet.

To determine x, we would apply trigonometric ratio.

Sin# = opposite side / hypotenuse

Looking at the triangle,

Hypotenuse = 500

Opposite = x

# = 42.5

Therefore,

Sin42.5 = x/500

x = 500Sin42.5 = 500 × 0.6756 = 337.8 feet