Answer:
x = 17
Step-by-step 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
[tex]cos=\frac{adjacent}{hypotenuse}[/tex]
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)
[tex]cos28=\frac{15}{x}[/tex]
step 1 divide each side by 15
15/cos28
15x/15=x
we're left with
[tex]x=\frac{15}{cos28} \\\\\frac{15}{cos28} =16.98855076\\so\\x=16.98855076[/tex]
our final step would be to round to the nearest tenth
x = 17
