Answer:
Step-by-step explanation:
this is a 30 60 90 triangle.. b/c 2 of the angles are given and you know the total is 180 around a triangle so the last angle is 30
also you know the hypotenuse of this triangle is 10 so use cos and sin to figure out the other sides
Use SOH CAH TOA to remember how the sin and cos functions fit on the triangle
CAH = Cos(Ф) = Adj/ Hyp we are given the Ф angle and we know the hypotenuse so solve for the Adj side
Hyp*Cos(Ф)= Adj
10 * Cos(60) = Adj
5 = Adj = y
Use Sin for the other side and the mnemonic to remember how it fits on the triangle and solve for the Opposite , since we don't know that .. yet
Sin(Ф) = Opp/ Hyp
Hyp * Sin (Ф) = Opp
10 * Sin(60) = Opp
10 *[tex]\sqrt{3}[/tex]/2 = Opp
5*[tex]\sqrt{3}[/tex] = Opp = x
:) I know Sin(60) = [tex]\sqrt{3}[/tex]/2 from a table and also my memory .. know that one from memory