Question

In the drawing below, find side AC if BC is equal to 5. Round your answer to two decimal places. (Drawing: http://i56.tinypic.com/261i4wx.png)

Answer 1

sin(45)=opp/hyp=opp/5
5sin(45)=opp
opp=4.25

Answer 2

no i had my calculator in radians darn it

Answer 3

opp=3.54

Answer 4

Use trigonometry!!!

\[BC = 5\]\[\theta=45\]\[AC = BC (\sin \theta)=5 (\sin 45) = 3.54\]

Answer 5

for exact answer we have
AC=\[\frac{5\sqrt{2}}{2}\]

Answer 6

By the way, here is a nice cheat sheet for trigonometry:

http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf