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If a 24-foot ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach? Round your answer to the nearest tenth.

User McMutton
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1 Answer

29 votes
29 votes

Answer: 20.4 feet

Explanation:

(image attached for reference)

To find how high the ladder reaches on the wall, first find the relationship between the angle and the wall. The wall is opposite to the angle, so it's possible to solve this equation using sin(58). Sine equals opposite over hypotenuse so sin(58) = x/24. Multiply 24 on both sides to get an equation that can be plugged into a calculator of 24sin(58) = x.

24sin(58) = 20.35, which gets rounded up to a final answer of 20.4 feet.

If a 24-foot ladder makes a 58 degree angle with the ground, how many feet up a wall-example-1
User Jacob Valenta
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