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

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) (Show Source): You can put this solution on YOUR website!
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.
--------------
sin(75) = 40/length (if 75� is the angle with the ground)
length = 40 ft/sin(75) = 40/0.96592...
length = ~ 41.411 feet
RELATED QUESTIONS
A gutter cleaner wants to reach a gutter 40 ft above the ground. Find the length of the... (answered by RAY100)

A gutter cleaner wants to reach a gutter 40ft. above the ground. Find the length of the... (answered by stanbon)

A woman wants to put a ladder against the wall of her house and climb up to fix the... (answered by Paul)

Jason is putting up rain gutters on his house. On piece of the rain gutter measures 48... (answered by addingup)

A woman wants to put a ladder against the wall of her house and climb up to fix the... (answered by stanbon)

A long rectangular sheet of metal 10 in. wide is to be made into a gutter by turning up... (answered by ankor@dixie-net.com)

A gutter at the edge of a roof drops 2 inches for every 30 feet of length. To the nearest (answered by Alan3354)

A sheet of metal is 60 cm wide and 10 m long. It is bent along its width to form a gutter (answered by ankor@dixie-net.com)

making a rain gutter a rain gutter is formed by bending up the sides of a 30-inch-wide... (answered by Theo)