Question

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

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, we know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 55^{\circ}$, the opposite side to the angle $\theta$ is $29$ m and the adjacent side is $x$. So, $\tan55^{\circ}=\frac{29}{x}$.

Step2: Solve for $x$

We can re - arrange the equation $\tan55^{\circ}=\frac{29}{x}$ to get $x=\frac{29}{\tan55^{\circ}}$. Since $\tan55^{\circ}\approx1.4281$, then $x=\frac{29}{1.4281}\approx20.3$.

Answer:

$20.3$