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You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 53∘and the distance to the kite is 300 feet. Your hand is 4 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.

2 Answers

1 vote

Final answer:

To find the height of the kite, we can use trigonometry. The height of the kite is approximately 437.3 feet.

Step-by-step explanation:

To find the height of the kite, we can use trigonometry. The height of the kite can be represented by the opposite side of a right triangle, where the angle of elevation is 53 degrees and the distance to the kite is 300 feet. We can use the tangent function to find the height:



Height of the kite = Distance to the kite x tan(angle of elevation)



Plugging in the values:



Height of the kite = 300 feet x tan(53 degrees)



Solving this equation, the height of the kite is approximately 437.3 feet.

User Fiid
by
4.5k points
4 votes

Answer:

243.6 ft !!

Step-by-step explanation:

User Kniganapolke
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4.5k points