Question

Given right triangle XYZ, what is the value of sin(Y)? (Hint: Special Right)

A.) 1/2
B.) SqRt3/3
C.) SqRt3/2
D.) (2SqRt3)/3

Answer 1

Answer: 1/2

Explanation:

Answer 2

sinY = 2

or

x = 2

Explanation:

None of the above answer choices are correct. If you solve for sinY:

sin30° = x/4

4sin30° = x

x = 2

Now that we have x, we use our special right triangle rules for 30-60-90 triangles. The angle across the 30° is x, the angle across the 60° is x√3 and our hypotenuse is 2x. Our answer would still be x = 2, so none of the answer choices are correct.