Question

pythagorean unit practice. the diagram below shows the side view of a ramp used to help load and unload a moving van. which measurement is closest to the length of the ramp in feet? a 10.3 ft b 9.5 ft c 10.5 ft d 8.5 ft

Explanation:

Step1: Identify right - triangle and Pythagorean theorem

The ramp forms a right - triangle with legs of lengths $a = 3$ ft and $b = 9$ ft. The Pythagorean theorem is $c^{2}=a^{2}+b^{2}$, where $c$ is the hypotenuse (length of the ramp).

Step2: Substitute values into the formula

Substitute $a = 3$ and $b = 9$ into $c^{2}=a^{2}+b^{2}$. So $c^{2}=3^{2}+9^{2}=9 + 81=90$.

Step3: Solve for $c$

Take the square root of both sides: $c=\sqrt{90}\approx9.5$ ft.

Answer:

B. 9.5 ft