Question

Please help me find Sin(g)

Answer 1

`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`