Question

Need help finding the meters to the question law of cosine

Answer 1

242.7

Step-by-step explanation:

The law of cosines says that if we have tirangle of the form

then

`c^2=a^2+b^2-2ab\cos C`

now in our case a = 254, b = 102, and C = 72; therefore, the above equation gives

`c^2=254^2+102^2-2(254)(102)\cos 72^o`

which gives

`c^2=74920-51816\cos 72^o`
`c^2=74920-16012.02458`
`c^2=58907.96`

taking the square root of both sides gives

`c=\sqrt[]{58907.96}`
`c=242.7`

which is our answer!