You are 64 inches tall and your shadow is 72 inches long. A tree casts a shadow of 144 inches. How tall is the tree? a) 100 in b) 128 in c) 136 in d) 150 in

Question

Alexander Strickland

Mathematics

14 July, 06:49

You are 64 inches tall and your shadow is 72 inches long. A tree casts a shadow of 144 inches. How tall is the tree? a) 100 in b) 128 in c) 136 in d) 150 in

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Answers (1)

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Jaslyn Harmon · Answer 1

Hello there! We are looking for the height of the tree. To find the height of the tree, we can write and solve a proportion. Set it up like this:

64/72 = x/144

This is because we know the shadow for both you and the tree, but we are looking for the heigh of the tree. This is the proper way to get you to the correct answer with ease. Let's start off by cross multiplying the values. 144 * 64 is 9,216. 72 * x is 72x. That's 9,216 = 72x. Now, divide each side by 72 to isolate the x. 72x/72 cancels out. 9,216/72 is 128. There. x = 128. The tree is 128 inches tall. The answer is B: 128 in.