12.53 inches is the value of z in the triangle
What is Cosθ?
The Cos theta or cos θ is the ratio of the adjacent side to the hypotenuse, where θ is one of the acute angles.
According to question, we have right angle triangle in which adjacent side=10 inches, hypotenuse is z and angle between adjacent side and hypotenuse is 37°. We have to find z in the triangle.
From the figure,
[tex]Cos37[/tex]°[tex]=\frac{adjacent side}{base}[/tex]
⇒[tex]0.798=\frac{10}{z}[/tex]
⇒[tex]z=12.53[/tex] inches.
Hence, we can conclude that [tex]z=12.53[/tex] inches in the triangle.
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