Question

1. a ski jump rises 3 feet over a run of 7 feet.

a) what is the length of the surface of the jump? draw a picture to help visualize

Explanation:

Step1: Identify right - triangle

The rise and run of the ski jump form a right - triangle, where the rise is the vertical side ($a = 3$ feet) and the run is the horizontal side ($b = 7$ feet), and the surface of the jump is the hypotenuse $c$.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $c=\sqrt{a^{2}+b^{2}}$. Substitute $a = 3$ and $b = 7$ into the formula: $c=\sqrt{3^{2}+7^{2}}=\sqrt{9 + 49}=\sqrt{58}\approx7.62$ feet.

Answer:

The length of the surface of the jump is $\sqrt{58}\approx7.62$ feet.
(Note: For the drawing part, you can draw a right - triangle with a vertical side labeled 3 feet and a horizontal side labeled 7 feet, and the hypotenuse represents the surface of the ski jump.)