Question

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

Answer 1

11.2 feet

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 = √(125)`

∴ hypotenous= 11.18
`\approx 11.2 \ feet`

Hence, the slope is 11.2 feet