Question

7.

1. jake leaned a 12 - foot

Explanation:

Step1: Identify trigonometric relation

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 72^{\circ}$, the hypotenuse is 25 and the side opposite to the $72^{\circ}$ angle is $x$. So, $\sin72^{\circ}=\frac{x}{25}$.

Step2: Solve for $x$

Multiply both sides of the equation $\sin72^{\circ}=\frac{x}{25}$ by 25. We know that $\sin72^{\circ}\approx0.9511$. So, $x = 25\times\sin72^{\circ}\approx25\times0.9511 = 23.7775\approx23.78$.

Answer:

$x\approx23.78$