Find the value of x,rounded to the nearest tenth

Question

asked Jul 7, 2018 187k views

2 Answers

Shuvo Joseph · Answer 1 · 2018-07-14T12:21:05+0000

Answer:

C.
31.4

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.

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

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

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

x=(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.