Question

find the value of x,rounded to the nearest tenth

Answer 1

x = 18/sin35° = 18/0.5736 ≈ 31.4 

Answer: C.

Answer 2

Answer:

C. $31.4$

Step-by-step explanation:

We have been given a right triangle. We are asked to find the value of x to nearest tenth.

We can see that x is hypotenuse and side with 18 units is opposite side to angle 35 degrees.

We know that sine relates opposite side right triangle to hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(35^{\circ})=\frac{18}{x}$

$x=\frac{18}{\text{sin}(35^{\circ})}$

$x=\frac{18}{0.573576436351}$

$x=31.382042$

$x\approx 31.4$

Therefore, the value of x is 31.4 and option C is the correct choice.