Question

HELP ME PLS I NEED HELP RN

Answer 1

x = 3.4

Explanation:

As the given triangle is a right triangle we can use trigonometric ratios to solve for x.

`\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=(O)/(H)\quad\cos(\theta)=(A)/(H)\quad\tan(\theta)=(O)/(A)$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}`

From inspection of the triangle:

• θ = 70°
• O = AB = x
• A = BC
• H = AC = 3.6

As we know the angle and the hypotenuse, and wish to find the side opposite the angle, substitute the values into the sine ratio and solve for x:

`\implies \sin(70^(\circ))=(x)/(3.6)`

`\implies x=3.6\sin(70^(\circ))`

`\implies x=3.382893...`

`\implies x=3.4\; \sf (nearest\;tenth)`

Therefore, x = 3.4 to the nearest tenth.

Answer 2

Explanation:

I gotchu.

sin70 = x/3.6

x = 3.6sin70

x = 3.4