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Please help me find Sin(g)

Please help me find Sin(g)-example-1

1 Answer

5 votes

Answer:


sin(G)=(21)/(35)

Explanation:

Solve for line segment CA:


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

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


sin(G)=(opposite)/(hypotenuse)\\ \\sin(G)=(10.5)/(17.5)\\ \\G=sin^(-1)((10.5)/(17.5))\\ \\G\approx36.87^\circ

Therefore,
sin(G)=(10.5)/(17.5)=(21)/(35) where
m\angle G=36.87^\circ

User Cheri
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