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kirill115 [55]
3 years ago
9

what is the slope of a 5-foot high platform that begins at ground level 10 feet from the base of the platform?​

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0

Answer:

11.2 feet

Step-by-step explanation:

Given: Height of platform (Opposite)= 5 foot

            Distance of slope from the base of platform (adjacent)= 10 feet

Picture drawn to show the measurement.

Lets find the length of slope.

Using the Pythagorean theoram.

hypotenous^{2} = opposite^{2} + adjacent^{2}

Subtituting the value in the formula.

hypotenous^{2} = 5^{2} + 10^{2}

⇒ hypotenous^{2} = 25 + 100

⇒ hypotenous^{2} = 125

Putting square root on both side

We know, √a²= a

⇒ hypotenous = \sqrt{125}

∴ hypotenous= 11.18 \approx 11.2 \ feet

Hence, the slope is 11.2 feet

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