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

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