Question

for the right triangle below, find the length of x. 17 x x =

Explanation:

Step1: Identify trigonometric ratio

We know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 35^{\circ}$, the opposite side to the angle is $x$ and the adjacent side is $17$. So $\tan35^{\circ}=\frac{x}{17}$.

Step2: Solve for $x$

Multiply both sides of the equation by $17$: $x = 17\times\tan35^{\circ}$. Using a calculator, $\tan35^{\circ}\approx0.7002$, so $x=17\times0.7002 = 11.9034\approx11.9$.

Answer:

$11.9$