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deff fn [24]
3 years ago
15

The shadow of a 5-foot tall post is 10 feet long. At the same time, a tree casts a shadow that is 24 feet long. What is the heig

ht of the tree?
A.
14 feet
В.
12 feet
C.
18 feet
D. 2 feet
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

C. 12 feet.

Step-by-step explanation:

The lamp post has a shadow that's twice as long as it'a actual height. The tree's shadow is 24 feet long, so it would be 24/2, which is 12 feet.

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A square has 4 equal sides, which means when you need to work out the area, you're doing length × width, but the length and width are exactly the same, because it's a square (look at the picture if you don't understand this).

That means you just have to pick any side (let's call this side x), and multiply it by another side of the square. Now, because all of the sides are equal, you're doing x multiplied by x, which is the same as x².

Therefore, if the area is equal to x², and in this question, it's also equal to 49 (as stated in the question), we can equate them to each other:

x² = 49

Now to get the x by itself, we need to do the opposite of squaring, which is square rooting. Therefore, we square root both sides of the equation:

√x² = √49

The √ and the ² cancel out, so you're just left with x:

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The square root of 49 is just 7, so we can replace √49 with 7, and we get:

x = 7

Now remember, earlier, I called x the value of one side. Therefore, by remembering that, you know that the value of one side is equal to 7. And because all the sides are the same as each other, each side is equal to 7 metres.

Therefore, your final answer is 7 metres :)

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