SOLUTION: In the figure, ∠A is a right angle, AB is 3 units, and BC is 5 units. If the measure of ∠C is Ø, what is the value of sin Ø?

Algebra ->  Triangles -> SOLUTION: In the figure, ∠A is a right angle, AB is 3 units, and BC is 5 units. If the measure of ∠C is Ø, what is the value of sin Ø?      Log On


   



Question 847405: In the figure, ∠A is a right angle, AB is 3 units, and BC is 5 units. If the measure of ∠C is Ø, what is the value of sin Ø?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First draw out the fully labeled picture


From the drawing, we see that AB is opposite angle C. So AB is the opposite side (with respect to angle C). Side BC is the hypotenuse since it's opposite the largest angle A (largest side is opposite largest angle).

So...


sin%28Angle%29+=+%28Opposite%29%2F%28Hypotenuse%29


sin%28theta%29+=+%28AB%29%2F%28BC%29


sin%28theta%29+=+3%2F5