Answer:
x = 17
Explanation:
Hello There!
We can solve for x using trigonometry
We are given two angles and 1 side length
lets use angle 28
We can find x using cosine
![cos=(adjacent)/(hypotenuse)](https://img.qammunity.org/2022/formulas/mathematics/college/uoyhmgh37px2dehfxvvw3k3a8x8b91oqn6.png)
All we have to do is plug in the given or known information
we know the the adjacent of 28 is 15 and we are looking for x
so we can solve for x using this equation (let x = hypotenuse)
![cos28=(15)/(x)](https://img.qammunity.org/2022/formulas/mathematics/college/kjyoierfm7kur9fi2tgub2grfyq6vq42e4.png)
step 1 divide each side by 15
15/cos28
15x/15=x
we're left with
![x=(15)/(cos28) \\\\(15)/(cos28) =16.98855076\\so\\x=16.98855076](https://img.qammunity.org/2022/formulas/mathematics/college/9qyhrwriio8orfgsj0bp1u5c49lfwx1krc.png)
our final step would be to round to the nearest tenth
x = 17