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, $\theta = 25^{\circ}$, the opposite side to the angle $25^{\circ}$ is $40$ m and the hypotenuse is $x$. So, $\sin25^{\circ}=\frac{40}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{40}{\sin25^{\circ}}$. Since $\sin25^{\circ}\approx0.4226$, then $x=\frac{40}{0.4226}\approx94.65$.

Answer:

$94.7$ m