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A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall. 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 32 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?

Sagot :

ssadowski

Answer:

create a proportion 72/348 = 32/x

Step-by-step explanation:

x = 1682

1682 ÷ 12 = 140.1

The length of the tree’s shadow that will allow the tree to be cut down will be 150.5 inches.

What are ratio and proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall.

            29 feet = 348 inches

6 feet 2 inches = 74 inches

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 32 inches.

Then the length of the tree’s shadow that will allow the tree to be cut down will be

Let x be the tree’s shadow. Then we have

x / 348 = 32 / 74

x = 150.486

x ≅ 150.5 inches

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

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