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guajiro [1.7K]
3 years ago
9

What’s the hypotenuse?

Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

c = 10 feet

Step-by-step explanation:

Use the Pythagorean theorem:  a^2 + b^2 = c^2

<u>Step 1:  Plug in the information</u>

(6)^2 + (8)^2 = c^2

36 + 64 = c^2

100 = c^2

sqrt(100) = sqrt(c^2)

<em>10 = c</em>

<em />

Answer: c = 10 feet

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Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 fee
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the height of the tree is 23 feet .

<u>Step-by-step explanation:</u>

Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:

According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So

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But , From tony scenario

⇒ Tanx=\frac{5.75}{8}

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