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Feodalherren
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Homework Statement
A man 6ft. tall is standing x ft. from a light pole 15 ft. high. Express the length of the man's shadow L as a function of x.
Homework Equations
Pre-Calc.
NO TRIG
The Attempt at a Solution
I assumed that the man's shadow creates another like triangle within in the larger one. The base of the large triangle is L + x and the height is 15 ft.
The base of the small triangle is L and the height 6 ft.
I set 15/(L+x) = (6/L) and solved for L. My solution was L(x)=(2/3)x, however, the book says it's L(x)=(3/2)x. Is it a typo or am I doing something wrong?