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aksik [14]
3 years ago
9

The length of the shadow on flat ground of a man who is 6 feet tall and is standing up straight is 8 feet. The distance between

the top of his head and the top of his head in the shadow is feet.
Mathematics
1 answer:
Tamiku [17]3 years ago
7 0
It would be 10 ft.

You set up a right triangle with the base being 8 ft (the shadow), the height being 6 ft (his height) and you need the hypotenuse, a straight line from his actual head to his head in the shadow.

a^2 + b^2 = c^2
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
take the square root of both sides
10 = c

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No, it's not a right triangle.

Step-by-step explanation:

1. The Pythagorean Theorem states that the area of the square whose side is the hypotenuse (longest side of a right triangle) is equal to the sum of the area of the squares from the two other sides.

2. The longest side in this "triangle" has 18 centimeters, and the other 2 sides are 5 and 12 centimeters.

3. Let's apply the Pythagorean Theorem to see if 5^2 + 12^2 = 18^2

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4. Okay, so the sum of the area of the squares from the two other sides is not equal to the hypotenuse squared, therefore, it's not a right triangle.

(Plus, it's not even a triangle because 7 < x < 17, and the third "side", 18, is not between 7 and 17.)

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The area of a rectangle is 30+12x what are 3 possibilities for the length and width of the rectangle
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Factors of 12: 1, 2, 3, 4, 6, 12

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