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HELP - THE QUESTION IS IN THE PHOTO - THE ONE WITH HEIGHT AND SLOPE - THE OTHER PHOTO IS JUST TO HELP

HELP THE QUESTION IS IN THE PHOTO THE ONE WITH HEIGHT AND SLOPE THE OTHER PHOTO IS JUST TO HELP class=
HELP THE QUESTION IS IN THE PHOTO THE ONE WITH HEIGHT AND SLOPE THE OTHER PHOTO IS JUST TO HELP class=

Sagot :

MathPhys

Answer:

hypotenuse = x √(1 + s²)

Explanation:

The slope of a ramp (s) is the ratio of the height (y) to the width (x). For a right triangle, Pythagorean's theorem says that the square of the hypotenuse is equal to the width squared plus the height squared. Using these two equations, we can find the hypotenuse in terms of the width.

First, use the slope to find the height in terms of the width.

s = y / x

y = sx

Next, use Pythagorean's theorem to find the hypotenuse in terms of the width.

(hypotenuse)² = x² + y²

(hypotenuse)² = x² + (sx)²

(hypotenuse)² = x² + s²x²

(hypotenuse)² = x² (1 + s²)

hypotenuse = x √(1 + s²)

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