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A 20 foot ladder rests against the top of a 15 foot building. How far does the ladder extend from the base of the wall and what angle does the ladder make with the ground?
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A 20 foot ladder rests against the top of a 15 foot building. How far does the ladder extend from the base of the wall and what angle does the ladder make with the ground?
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Feb 20, 2016
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A 20 foot ladder rests against the top of a 15 foot building. How far does the ladder extend from the base of the wall and what angle does the ladder make with the ground?
Mathematics
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Shrimpwagon
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Look at the picture.
Calculate x using the Pythagorean theorem:
Calculate α using sine:
The ladder extends approximately 13.23 feet (exactly: 5√7 feet) from the base of the wall and makes an approximately 49° angle with the ground.
Lusketeer
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Feb 26, 2016
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