Answer: Angle O = 70.5°
Step-by-step explanation: The triangle given in the question shows two sides which are 6 and 4.5
Also we have side 4.5 with an opposite angle which is 45° and side 6 with an opposite angle which is unknown.
In view of what we have available, we shall use the Sine Rule which states that
a/SinA = b/SinB = c/SinC
Hence we can express this as
4.5/Sin 45 = 6/Sin O
By cross multiplication we now have
4.5 x Sin O = 6 x Sin 45
Sin O = (6 x Sin 45)/4.5
Sin O = (6 x 0.7071)/4.5
Sin O = 4.2426/4.5
Sin O = 0.9428
By using tables of values or a calculator
Angle O = 70.5272
Angle O is approximately 70.5°
