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

How do I solve a trigonometry problem if you only have one side(12) and two angles-example-1
User Xmarcos
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1 Answer

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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
User AllTooSir
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