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## A 24-foot ladder leaning against a wall makes a 30 ° angle with the ground . How high up on the building is the top of the ladder ? HE

Question

A 24-foot ladder leaning against a wall makes a 30 ° angle with the ground . How high up on the building is the top of the ladder ?

HELP ASAP

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Mathematics
3 years
2021-08-24T21:43:59+00:00
2021-08-24T21:43:59+00:00 1 Answers
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## Answers ( )

Answer:Step-by-step explanation:When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:

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