find m∠G, rounded to the nearest degree

Answer:
d. [tex]62\degree[/tex]
Step-by-step explanation:
The given triangle is a right triangle with all the sides given.
We can use any of the trigonometric ratios to find m<G.
Recall the mnemonics. SOH CAH TOA
Let us use the sine ratio.
[tex]\sin(m\angle G)=\frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(m\angle G)=\frac{15}{17}[/tex]
[tex]m\angle G=\sin^{-1}(\frac{15}{17})[/tex]
[tex]m\angle G=61.9[/tex]
[tex]m\angle G=62\degree[/tex] to the nearest degree.