Question

question 16 (5 points) determine the value of x. a) 16.32 b) 35.54 c) 54.45 d) 17.51

Explanation:

Step1: Apply tangent formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 35^{\circ}$, the opposite side is $x$ and the adjacent side is 25. So $\tan(35^{\circ})=\frac{x}{25}$.

Step2: Solve for $x$

Multiply both sides of the equation $\tan(35^{\circ})=\frac{x}{25}$ by 25. We know that $\tan(35^{\circ})\approx0.7002$. Then $x = 25\times\tan(35^{\circ})\approx25\times0.7002 = 17.505\approx17.51$.

Answer:

D. 17.51