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Please help me find Sin(g)

Please Help Me Find Sing class=

Sagot :

Answer:

[tex]sin(G)=\frac{21}{35}[/tex]

Step-by-step explanation:

Solve for line segment CA:

[tex]a^2+b^2=c^2\\\\14^2+(CA)^2=17.5^2\\\\196+(CA)^2=306.25\\\\(CA)^2=110.25\\\\CA=10.5[/tex]

Determine sin(G) which is similar to sin(T)

[tex]sin(G)=\frac{opposite}{hypotenuse}\\ \\sin(G)=\frac{10.5}{17.5}\\ \\G=sin^{-1}(\frac{10.5}{17.5})\\ \\G\approx36.87^\circ[/tex]

Therefore, [tex]sin(G)=\frac{10.5}{17.5}=\frac{21}{35}[/tex] where [tex]m\angle G=36.87^\circ[/tex]

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