SOLUTION: This problem refers to right triangle ABC with C = 90°. Begin the problem by drawing a picture of the triangle with both the given and asked for information labeled appropriatel

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Question 1134787: This problem refers to right triangle ABC with C = 90°.
Begin the problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately.If B = 53.66° and b = 18.33 yd, find a. (Round your answer to three decimal places.)

a = yd
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Law Of Sines; you can find angle measure at A using A=180-90-53.66.

b%2Fsin%28B%29=a%2Fsin%28A%29
-
18.33%2Fsin%2853.66%29=a%2Fsin%2836.34%29
a=%28sin%2836.34%29%2Fsin%2853.66%29%2918.33
a=%280.59257%2F0.80551%2918.33
highlight%28a=13.48%29

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
Start from  the definition which  EVERYBODY knows  (or must know)


    b%2Fa = tan(B)


and deduce from it   a = b%2Ftan%28B%29.


After that use your calculator . . .


Do not use the way pointed by @josgarithmetic - otherwise everybody will see that you don't know Trigonometry . . .