# geometry

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A carpenter needs to add a handrail to the staircase shown. The handrail needs to be parallel to the staircase. Each step is 9 inches wide and 6 inches high
a) calculate the handrail slope.
b) if a coordinate plane is placed over the diagram of the same stairs and one endpoint of the handrail is at (0, 3), where is the other endpoint located?

• geometry -

a) The handrail must increase in elevation by 2 for each horizontal distance of 3. The slope is therefore 2/3.

b) The other endpoint will be at
(L, 3 + (2/3) L)
where L is the horizontal distance covered by the flight of stairs. You omitted a dimension needed to solve the problem. Perhaps it was in the Figure you did not show.

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