Question

solve the right triangle and round your answers to the nearest tenthi think its either a or b but im not exactly sure which one

Answer 1

Given data:

The first side given is FG =17.

The second given side is HF=20.

The expression for the Pythagoras theorem is,

`\begin{gathered} (HF)^2=(FG)^2+(GH)^2 \\ (20)^2=(17)^2++(GH)^2 \\ GH^2=111 \\ GH=10.5 \end{gathered}`

The angle F is,

`\begin{gathered} \cos (m\angle F)=(FG)/(HF) \\ =(17)/(20) \\ m\angle F=31.8^(\circ) \end{gathered}`

The angle H is,

`\begin{gathered} m\angle H+m\angle F+m\angle G=180^(\circ) \\ m\angle H+31.8^(\circ)+90^(\circ)=180^(\circ) \\ m\angle H=58.2^(\circ) \end{gathered}`

Thus, the option (b) is correct.