SOLUTION: Given right triangle ABC, find the approximate length of side BC. BA = 2 and angle B is 90 degrees while angle C is 20 degrees. Side AC is the hypotenuse. (A) 0.18 (B) 4 (C)

Question 728465: Given right triangle ABC, find the approximate length of side BC. BA = 2 and angle B is 90 degrees while angle C is 20 degrees. Side AC is the hypotenuse.
(A) 0.18
(B) 4
(C) 5.49
(D) 5.9
(E) 2.12
I already tried taking tanO=(2)/(x)(the O has a straight line going through the middle) and got tan(20 degrees)(2) but when I do that I get .72794 and that isn't one of the answers to pick from...
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given right triangle ABC, find the approximate length of side BC. BA = 2 and angle B is 90 degrees while angle C is 20 degrees. Side AC is the hypotenuse.
----
Angle C(20 degrees) is opposite side BA(2).
Draw the picture.
BC is the base and is "x"
----
tan(20) = 2/x
x = 2/tan(20) = 5.49
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Comment:
Make sure you draw a properly labeled picture when
you work these problems.
------
Cheers,
Stan H.
==================

(A) 0.18
(B) 4
(C) 5.49
(D) 5.9
(E) 2.12

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

given:

angle degrees
angle degrees
is the hypotenuse
to find: the approximate length of side

...so, your answer is (C)

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