Question

Find the value of x. Round the length to the nearest tenth.​

Answer 1

To find value of x we can use the sine angle function. From definition and basics of trigonometry we know that,

$\sin(\theta)=\dfrac{\mathrm{opposite}}{\mathrm{hypotenuse}}$

In this case our opposite is x and our hypotenuse is 15m and our angle $\theta$ is 35°.

Therefore,

$\sin(35^{\circ})=\dfrac{x}{15}$

If we solve for x,

$x=15\sin(35^{\circ})\approx\boxed{8.6\mathrm{m}}$

Hope this helps.

r3t40