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.
[tex]hypotenous^{2} = opposite^{2} + adjacent^{2}[/tex]
Subtituting the value in the formula.
[tex]hypotenous^{2} = 5^{2} + 10^{2}[/tex]
⇒ [tex]hypotenous^{2} = 25 + 100[/tex]
⇒ [tex]hypotenous^{2} = 125 [/tex]
Putting square root on both side
We know, √a²= a
⇒ [tex]hypotenous = \sqrt{125}[/tex]
∴ hypotenous= 11.18 [tex]\approx 11.2 \ feet[/tex]
Hence, the slope is 11.2 feet
