SOLUTION: A gutter cleaner wants to reach a gutter 40 ft above the ground. Find the length of the shortest ladder that can be used if the steepest angle at which it can be leaned against the
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Question 215143: A gutter cleaner wants to reach a gutter 40 ft above the ground. Find the length of the shortest ladder that can be used if the steepest angle at which it can be leaned against the house has measure 75°.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
a rough sketch helps. right triangle, one leg 40,,opposite 75 angle,,,hypotenuse is L (unknown)
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sin 75 = 40/L
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L= 40/sin75 = 41.411 ft
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check,,sin^(-1) {40/41.411} = 75,,,,,ok
.
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