Question

find the value of x, correct to 1 decimal place.

Explanation:

Step1: Use tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 55^{\circ}$, the opposite side is 29 m and the adjacent side is $x$. So, $\tan(55^{\circ})=\frac{29}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{29}{\tan(55^{\circ})}$. Since $\tan(55^{\circ})\approx1.4281$, then $x=\frac{29}{1.4281}\approx20.3$.

Answer:

$20.3$