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you've let out 125 feet of string from the reel while flying a kite. If the angle of elevation is 60, how much higher is the kite than the reel

Sagot :

regalmocha17

Answer:

108 feet

Step-by-step explanation:

To solve this problem you can use the sine identity where the sine of the angle is equal to the opposite side divided by the hypotenuse.

So:

sin 60° = x/125

sin 60° being the angle of elevation

x representing the height (opposite side)

125 representing the length of the hypotenuse (string)

Multiply both sides by 125 to obtain x.

125 sin 60° = x

x = 108.2531755 feet

For simplicity's sake, we can round that value to the nearest whole number which is 108 feet.

Thus, the kite would be 108 feet higher than the reel.

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