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 th

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Question 208071: 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 a measure of 75 degrees.
Answer by Alan3354(69443) About Me  (Show Source):
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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 a measure of 75 degrees.
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sin(75) = 40/length (if 75º is the angle with the ground)
length = 40 ft/sin(75) = 40/0.96592...
length = ~ 41.411 feet