Question

Please help Find the value of x. Round the length to the nearest tenth.A: 26.2 mB: 12.3 mC: 8.6 mD: 10.5 m

Answer 1

In this case, we have a right triangle, for this kind of figure we can use the trigonometric ratios in order to determine the length of missing sides. The sine ratio is given by the following formula:

`\sin \theta=(oc)/(h)`

Where oc is the length of the leg opposite to angle θ and h is the length of the hypotenuse. By replacing 35° for θ, x for oc and 15 for h, we get:

`\sin 35=(x)/(15)`

From this equation we can solve for x by multiplying both sides by 15, then we get:

`\begin{gathered} x=15\sin 35 \\ x=15*0.57 \\ x\approx8.6 \end{gathered}`

Then x = 8.6 m, the third option is the correct answer