SOLUTION: A wagon wheel is placed against a wall. One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is the radius of the wheel?

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Question 200344: A wagon wheel is placed against a wall. One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is the radius of the wheel?

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
A wagon wheel is placed against a wall. One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is the radius of the wheel?
.
Think Pythagorean theorem.
.
Draw a diagram -- the wheel is the hypotenuse while the wall and the floor forms the two sides of a right triangle.
.
Let d = diameter of wheel
then
d^2 = 5^2 + 10^2
d^2 = 25 + 100
d^2 = 125
d =
d =
d =
.
Radius is half the diameter:
radius = = 5.59 inches

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