SOLUTION: Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.) Given: θ = 20° opposite = 45 Find: hypotenuse =

Algebra ->  Triangles -> SOLUTION: Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.) Given: θ = 20° opposite = 45 Find: hypotenuse =       Log On


   

Question 1148772: Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.)
Given: θ = 20°
opposite = 45
Find: hypotenuse =
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The two sides in the problem (one given, one to be found) are the opposite side and the hypotenuse. The trig function relating those two sides is sine:

sin%28x%29+=+%28opposite%29%2F%28hypotenuse%29

Plug in the two known values to determine the third:

sin%2820%29+=+45%2Fx

Sin(20) is not a "nice" number; use a calculator. (Make sure the calculator is using degrees and not radians....)