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First, draw a picture of the situation.

Let the length of the ladder be X.

Notice that X is the hypotenuse of a right triangle.

Notice that the side opposite of the known angle is known.

Remember that the sine of an angle is (side opposite)/(hypotenuse), so that sin46o=15'/X

solving for X gives X=20.85'

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Q: A ladder is leaned against a wall at an angle of elevation of 46 degrees The top of the ladder reaches the wall at 15 feet How long is the ladder?
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