Question

1. x 72° 25

Explanation:

Step1: Use tangent function definition

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 72^{\circ}$ and the opposite side to the $72^{\circ}$ angle is $x$, and the adjacent side is 25. So $\tan72^{\circ}=\frac{x}{25}$.

Step2: Solve for $x$

We know that $\tan72^{\circ}\approx3.0777$. Then $x = 25\times\tan72^{\circ}$. Substituting the value of $\tan72^{\circ}$, we get $x\approx25\times3.0777 = 76.9425\approx76.94$.

Answer:

$x\approx76.94$