Question

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

Explanation:

Step1: Use sine - function definition

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

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{25}{\sin28^{\circ}}$. Since $\sin28^{\circ}\approx0.4695$, then $x=\frac{25}{0.4695}\approx53.2$.

Answer:

$53.2$