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)=\frac{\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))=(x)/(15)`

If we solve for x,

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

Hope this helps.

r3t40