Grayson is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite's string play out. He measures the angle of elevation from his
hand to the kite to be 38°. If the string from the kite to his hand is 125 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary

40.3 feet

Step-by-step explanation:

Use trigonometry.

First, set your calculator to Degrees instead of Radians. Next, draw a model like the attached image to help you better understand the question.

Now, figure out which trigonometric ratio to use. In this case, it is easiest to use sine (or cosine).

sin(38°) = x / 125

125(sin(38°)) = x

x ≈ 37.046

Finally, to find the height, simply add how high the hand is from the ground:

h = 37.046 + 3.25 = 40.296

So,

h ≈ 40.3 ft

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