SOLUTION: A wagon wheel is placed against a wall as
shown in the accompanying figure. One point on the edge
of the wheel is 5 inches from the ground and 10 inches
from the wall. What is t
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-> SOLUTION: A wagon wheel is placed against a wall as
shown in the accompanying figure. One point on the edge
of the wheel is 5 inches from the ground and 10 inches
from the wall. What is t
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Question 327055: A wagon wheel is placed against a wall as
shown in the accompanying figure. 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 galactus(183) (Show Source):
You can put this solution on YOUR website! If we draw a picture, we can see that the radius of the wheel has length
R=10+x or R=5+y............[1]
The equation of a circle is
From [1], we see that x=R-10 and y=R-5
This gives us
Now, we have to down to one variable.
Simplify and form a quadratic:
Of course, 5 is extraneous and we find the wheel has radius 25 inches.
