A lumber mill needs one more tree cut down that is at least 41 feet long. The person cutting down the tree is 5 feet 3 inches ta
ll. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 36 inches. What is the length (to the nearest tenth of a foot) of the tree's shadow that will allow the tree to be cut down?
1 answer:
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Answer:
Step-by-step explanation:
Start by finding the LCM of the coefficients of each polynomial:
Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term (,
, and
). The largest term of
is
in the first polynomial, so we'll take exactly that for our
term in the LCM, absolutely nothing more. Similarly, the largest term of
in any of the three polynomials is
(also in the first polynomial) and the largest
term in any of the three polynomials is
in the second polynomial. Thus, the LCM of all our polynomials is: