Question

What is X and how do I find it?

Answer 1

x = 33 ( rounded to the nearest whole )

x = 33.1 ( rounded to the nearest tenth )

x = 33.06 ( rounded to the nearest hundredth )

Explanation:

We can solve for x using trigonometry

Remember these are the "common" trig ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For angle "x" we are given it's opposite side length (6) and the hypotenuse (11)

When working with the opposite side length and hypotenuse we use trig ratio Sine.

Recall that sin = opposite over hypotenuse

Thus,
`sin(x)=(6)/(11)`

We then want to isolate "x"

To do so we need to get rid of the "sin"

We can do this by multiplying each side by the inverse of sin ( sin ) ^-1

`sin(x)*sin^-^1=x\\sin^-^1((6)/(11)) =33.05573115`

we're left with x = 33.05573115

Answer 2

X = 33.05

Explanation:

`\sin(x) = (6)/(11) \\ x = 33.05`