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A person flying a kite has released 176m of string. The string can make an angle of 27 degrees with the ground. How high is the kite? How far away is the kite horizontally?

 May 18, 2020
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To find the height of the kite, use the sin:  sin(x)  =  opposite / hypotenuse

   --->   sin(27)  =  height / 176   --->   176 · sin(27)  =  height

 

To find the horizontal distance, use the cos:  cos(x)  =  adjacent / hypotenuse

   --->   cos(27)  =  horizontal / 176   --->   176 · cos(27)  =  horizontal

 May 18, 2020

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