1. What is the exact value of sin 60dg? Answer as a simplified fraction.
2. What is the value of x?
options: 6, 6(sqrt)3, 12, 12(sqrt)3
3. What is the value of x?
options: 7, 7(sqrt)2, 14, 14(sqrt)2.
1. sin (60°) = √3 / 2
2. 6 √3
Proof
sin 60 = x / 12
√3 / 2 = x /12
12 * √3 / 2 = x
6 √3 = x
3. In a 45-45-90 triangle......the hypotenuse is √ 2 times as long as either leg
So x = (7√2 ) √2 = 7 * 2 = 14