Answer:
b.44 degrees
Step-by-step explanation:
Hello
this is a right triangle, we can use trigonometric identities, in this case we know the hypotenuse and the adjacent side, we must use a formula that relates those two lengths, the appropriate one is cosine
[tex]cos(x)=\frac{adjacent\ side}{hypotenuse} \\[/tex]
Step 1
Let
hypotenuse=21
adjacent side=15
[tex]cos(x)=\frac{15}{21}\\ take\ out\ the\ inverse\ function\ on\ each\ side\ to\ clear\ x\\cos^{-1}(cosx)=cos^{-1}\frac{15}{21}\\x=cos^{-1}(\frac{15}{21})[/tex]
use your calculator in deg mode, or a table to find the angle
x=44.41 degrees
x=44 degrees
Have a great day.
