Bob A. answered • 05/06/14

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You have a right triangle here

The Very First thing you should do is make a sketch!!

Then you will see that the adjacent side to S is 5 and that the hypotenuse is 10

Now you can find the cos(S) = adj/hyp = 5/10

The tangent is = sin/cos or = opp/adj

The opposite side from R is the adj side to S or ST = 5

You need to find the adjacent side to R

You need Pythagorean Theorem to do that. hyp = RS

RS^2 = ST^2 + RT^2

10^2 = 5^2 + RT^2

RT^2 = 10^2 - 5^2 =

RT = √( 10^2 - 5^2 )

Now you can figure out the tan(R) = opp/adj = 5/RT

If you want an easy way to learn Trigonometry and remember you trig formulas

search the internet for "Trig Without Tears"