Question

1. describe and correct the error.
2. describe and correct the error.
3. modeling with mathematics the backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. use the pythagorean theorem (theorem 9.1) to approximate the distance between the rods where they meet the backboard.

(images and related calculations as shown in the original problem)

Explanation:

Answer:

Error (Q4): Incorrectly wrote $x^2=(7+24)^2$ instead of $x^2=7^2+24^2$. Correct answer: $x=25$.
Error (Q5): Treated the hypotenuse as a leg; correct formula: $26^2=x^2+10^2$, so $x=24$.
$x=\sqrt{13.4^2-9.8^2}\approx9.0$ in.