SOLUTION: a kite string is 300 feet long from the kite to the ground. the string makes a 50 degree angle with the ground. about how high off the ground is the kite? f) 215 ft h) 245 ft g)

Algebra ->  Algebra  -> Angles -> SOLUTION: a kite string is 300 feet long from the kite to the ground. the string makes a 50 degree angle with the ground. about how high off the ground is the kite? f) 215 ft h) 245 ft g)       Log On

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Question 95770: a kite string is 300 feet long from the kite to the ground. the string makes a 50 degree angle with the ground. about how high off the ground is the kite?
f) 215 ft h) 245 ft
g) 230 ft j) 260 ft
Answer by Edwin McCravy(6932) About Me  (Show Source):
You can put this solution on YOUR website!
a kite string is 300 feet long from the kite to the ground. the string makes a 50 degree angle with the ground. about how high off the ground is the kite?
f) 215 ft h) 245 ft
g) 230 ft j) 260 ft

drawing%28200%2C187.5%2C0%2C300%2C0%2C300%2C%0D%0Alocate%2820%2C25%2C%2750%B0%27%29%2C+locate%2870%2C150%2C%27300%27%27%29%2C%0D%0Aline%280%2C0%2C192.8362829%2C229.8133329%29%2Crectangle%28192.8362829%2C229.8133329%2C202.44%2C241.29%29%2C+%0D%0Aline%280%2C0%2C300%2C0%29%29 



Now draw a perpendicular from the kite to the ground to
represent the height h of the kite:

drawing%28200%2C187.5%2C0%2C300%2C0%2C300%2C%0D%0Alocate%2820%2C25%2C%2750%B0%27%29%2C+locate%2870%2C150%2C%27300%27%27%29%2Clocate%28205%2C121%2Ch%29%2C%0D%0Aline%280%2C0%2C192.8362829%2C229.8133329%29%2Crectangle%28192.8362829%2C229.8133329%2C202.44%2C241.29%29%2C+line%28202.44%2C241.29%2C202.44%2C0%29%2C++%0D%0Aline%280%2C0%2C300%2C0%29%29 

        h%2F300 = %28OPPOSITE%29%2FHYPOTENUSE 

        h%2F300 = sin(50°)

Multiply both sides by 300

                  h = 300·sin(50°) 

                  h = 229.8133329 feet 

So the choice closest to that is 230 feet, choice (g)

Edwin