Question

Solve the right triangle using the given information. a = 77.7 yd, b = 42.7 yd B A= degrees minutes B = degrees minutes yd (round to the nearest tenth)

Answer 1

ok, from pythagoras theorem,

`c^2=a^2+b^2`
`c^2=77.7^2+42.7^2=7860.58yd^2`
`c=88.66\text{ yd}`

c= 88.7 yards, to the nearest tenth

`\begin{gathered} A=\sin ^(-1)((77,7)/(88.7))=61^{\circ\text{ }}9.66\text{ minutes} \\ B=\sin ^(-1)(42.7)/(88.7)=48^(\circ)\text{ 46.8 minutes} \end{gathered}`