PROBLEM # 1
If  the base of a ladder is 5' from the wall, its top touches the wall at a height of 12'. At what height does the ladder touch the wall if the base is 6.5' from the wall?

PROBLEM #2
A hemisphere of radius 1 is made of a material whose density at a particular location  = h, the height of the location. What is the mass of the hemisphere?

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Problems from 04/28/11

PROBLEM # 1
What is the sum of angles inside the shape formed by connecting points C, A, B, D, back to C?

SOLUTION 1
2 pi.

PROBLEM #2
What is the The equation of a line perpendicular to 2x+y-4=0 that passes through the origin?

SOLUTION 2
x-2y = 0.

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