Question

Solve for x in the triangle. Round your answer to the nearest tenth.

X
17
53°
x =
0
X

Answer 1

Answer: x=13.6

Explanation:

To solve for x, we need to use some Trigonometry.

Notice x and 17 is opposite and the hypotenuse of 53° respectively.

With opposite and hypotenuse, we would use sine, which matched with opposite over hypotenuse.

`sin(53)=(x)/(17)` [multiply both sides by 17]

`17sin(53)=x`

x≈13.6

Therefore, x≈13.6.