Answer:
13.8
Step-by-step explanation:
Recall the trigonometric ratios
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now lets look back at the question
We are given an angle and its adjacent side length (11) and we need to find the hypotenuse
The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x
( remember that cosine = adjacent over hypotenuse )
[tex]cos(37)=\frac{11}{x}[/tex]
step 1 multiply each side by x
[tex]cos(37)*x=xcos(37)\\\frac{11}{x} *x=11[/tex]
now we have [tex]xcos(37)=11[/tex]
step 2 divide each side by cos(37)
[tex]\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\[/tex]
we're left with x = 13.77439
Our last step would be to round to the nearest tenth
We would get that the answer is 13.8
