Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46°, and the kite string forms a stra
1 answer:
<h3>Answer: 58 feet</h3>
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Check out the diagram below.
We have a right triangle such that the vertical leg is unknown. We'll call it x. This is opposite the reference angle 46°
The hypotenuse is the length of the string, which is 80 ft.
We use the sine ratio to tie the opposite and hypotenuse together.
sin(angle) = opposite/hypotenuse
sin(46) = x/80
80*sin(46) = x
x = 80*sin(46)
x = 57.54718 approximately
x = 58 feet
The kite is 58 feet off the ground.
For comparison, a 6 story building is 6*10 = 60 ft tall, assuming each story is 10 ft tall. So this kite is about 2 feet short of the top of the building.
Edit: I changed 56 to 58
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