Answer: h=11.9
Step-by-step explanation:
We know that the hypotenuse is 13 and we have the adjacent side of the angle 24. This means we can use cosine to solve.
[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(24)=\frac{h}{13}[/tex]
Multiply both sides by 13 to isolate h
[tex]cos(24)=\frac{h}{13} \\(13)cos(24)=\frac{h}{13}(13)\\13cos(24)=h[/tex]
h=11.9
