Answer:
≈ 33°
Step-by-step explanation:
So, first, you can draw a visual. Refer to the image attached below:
Using this info, you can use trigonometric ratios. Recall that:
tangent = opposite side/adjacent side
sine = opposite side/ hypotenuse
cosine = adjacent side/hypotenuse
You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.
So:
[tex]sinX = \frac{150}{275}[/tex]
However, we're not trying to find sinX, we're trying to find X.
So we would have to use inverse sine, which would then be:
[tex]X = sin-1 (\frac{150}{275} )[/tex]
Put this into your calculator, and:
X ≈ 33.05573115...
