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On a windy day, a 30 meter rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depression of the stake is 62º. Find, to the nearest centimeter, the height of the balloon, assuming the wind to be constant.

 Jan 12, 2024
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sin 62°  =   height of balloon / length of rope

 

sin 62° =  height of balloon /  30 m

 

(30 m) ( sin 62°)  = height of balloon  ≈  26.49 m ≈  2649 cm

 

cool cool cool

 Jan 12, 2024
edited by CPhill  Jan 12, 2024

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