In the given triangle, y = 32°.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9cm while the hypotenuse of the triangle measures 17cm. As we have the lengths of the opposite side and the hypotenuse side, we can calculate the sine of the value y.
sin y = [tex]\frac{oppositeside}{hypotenuseside}[/tex].
Step 2; Length of the opposite side = 9 cm.
Length of the hypotenuse side = 17 cm.
sin y = [tex]\frac{oppositeside}{hypotenuseside}[/tex] = [tex]\frac{9}{17}[/tex] = 0.5294.
We can multiply inverse sine on both sides to solve y.
y = [tex]sin^{-1}[/tex] (0.5294) = 31.9657°.
Rounding this off to the nearest tenth we get, y = 32.0°.
