170k views
5 votes
Hi, can you help me to solve this exercise, please!!

Hi, can you help me to solve this exercise, please!!-example-1
User JanBorup
by
6.7k points

1 Answer

2 votes

From the given right triangle we get that:


\sin H=(FG)/(HF)\text{.}

Multiplying the above equation by HF we get:


\begin{gathered} \sin H* HF=(FG)/(HF)* HF, \\ HF\sin H=FG\text{.} \end{gathered}

Substituting HF=7 and H=25 degrees in the above equation we get:


\begin{gathered} FG=7\sin 25^(\circ), \\ FG\approx3.0. \end{gathered}

Answer:


FG\approx3.0.

User Deepak Rajput
by
7.4k points