Question

set up an equation, then solve for x. be accurate to within one decimal.

Explanation:

Step1: Identify trigonometric relation

We use $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 70^{\circ}$, opposite side is $x$ and adjacent side is $11$. So $\tan70^{\circ}=\frac{x}{11}$.

Step2: Solve for x

$x = 11\times\tan70^{\circ}$. Since $\tan70^{\circ}\approx2.747$, then $x=11\times2.747 = 30.217\approx30.3$.

Answer:

$x\approx 30.3$