Respuesta :

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.