SOLUTION: A gutter cleaner wants to reach a gutter 40ft. 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

Question 200973: A gutter cleaner wants to reach a gutter 40ft. 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 degrees.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A gutter cleaner wants to reach a gutter 40ft. 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 degrees.
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Draw the picture.
rise = 40 ft.
base angle = 75 degrees
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Find the hypotenuse (ladder) length:
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Equation:
sin(75 degrees) = rise/hypotenuse
hypotenuse = rise /sin(75)
hypotenuse = 40/0.9659...
hypotenuse = 41.41 feet.
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Cheers,
Stan H.

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