Question

1. solve for x. 25° 8.3 9.2 3.9 7.5 19.6

Explanation:

Step1: Use cosine function

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 25^{\circ}$, adjacent side $= 8.3$, and hypotenuse $=x$. So, $\cos(25^{\circ})=\frac{8.3}{x}$.

Step2: Solve for $x$

Rearrange the formula to get $x=\frac{8.3}{\cos(25^{\circ})}$. We know that $\cos(25^{\circ})\approx0.9063$. Then $x=\frac{8.3}{0.9063}\approx9.2$.

Answer:

9.2