Question

a ramp is used to load goods onto a truck. the ramp is 5 feet high and reaches 13 feet along the ground from the back of the truck. how long is the ramp? (round to the nearest whole number)

Explanation:

Step1: Identify right triangle sides

The ramp forms the hypotenuse of a right triangle with height $a=5$ ft, ground length $b=13$ ft.

Step2: Apply Pythagorean theorem

$$c = \sqrt{a^2 + b^2}$$
Substitute values:
$$c = \sqrt{5^2 + 13^2} = \sqrt{25 + 169} = \sqrt{194}$$

Step3: Calculate and round result

$\sqrt{194} \approx 13.93$, rounded to nearest whole number is 14.

Answer:

14 feet