Question

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

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, we know that $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 28^{\circ}$, the opposite side to the angle $28^{\circ}$ is $25$ m and the hypotenuse is $x$. So, $\sin28^{\circ}=\frac{25}{x}$.

Step2: Solve for $x$

We can re - arrange the equation $\sin28^{\circ}=\frac{25}{x}$ to get $x=\frac{25}{\sin28^{\circ}}$. Since $\sin28^{\circ}\approx0.4695$, then $x=\frac{25}{0.4695}\approx53.2$.

Answer:

$53.2$