Question

question 21 of 28
a bike ramp is in the shape of a right triangle. what is the height of the ramp?
a. 36 ft
b. 18 ft
c. 6 ft
d. 13 ft

Explanation:

Step1: Apply Pythagorean theorem

Let the height be $h$. In a right - triangle, by the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a$ and $b$ are the legs. Here, $c = 10$ ft and one leg is $8$ ft. Let the height be $h$, so $h^{2}+8^{2}=10^{2}$.

Step2: Solve for $h^{2}$

$h^{2}=10^{2}-8^{2}=100 - 64=36$.

Step3: Solve for $h$

$h=\sqrt{36}=6$ ft.

Answer:

C. 6 ft