How do i solve a trigonometry problem if you only have one side(12) and two angles (54° and 90°)

Hello Jade,

Great, now we can solve this problem. Since we are dealing with an opposite and adjacent angle, with regard to the 54 degree angle, this makes is a tangent ratio. SOH - CAH - TOA

We can set up and solve the following equation.

tan 54 = x/12  Use a calculator or chart to find the tangent of 54
1.37 = x/12     Multiply by 12
16.44 = x

The length of the missing side x is 16.44.

I hope this helps,
MrEQ