# Problem: Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.4 m above the ground. His weight of 880 N is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N.)A. What is the magnitude of the component of Tom's weight parallel to the ladder?B. What is the magnitude of the component of Tom's weight perpendicular to the ladder?

###### FREE Expert Solution

We can visualize this problem in the diagram below: Sinθ = opposite/hypotenuse = 2.4/3.0

Cosθ = adjacent/hypotenuse = sqrt(3.02-2.42)/3.0

A.

From the figure, the magnitude of weight parallel to the ladder is:

95% (34 ratings) ###### Problem Details

Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.4 m above the ground. His weight of 880 N is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N.)

A. What is the magnitude of the component of Tom's weight parallel to the ladder?

B. What is the magnitude of the component of Tom's weight perpendicular to the ladder?

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