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Find the value of x,rounded to the nearest tenth

Find the value of x,rounded to the nearest tenth-example-1
User Adam Pope
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8.5k points

2 Answers

6 votes
x = 18/sin35° = 18/0.5736 ≈ 31.4

Answer: C.
User Master Bee
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8.2k points
2 votes

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.

User Shuvo Joseph
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7.3k points