Question

Find y.

1)6.76
2)7.54
3)18.55
4)29.83

Answer 1

9514 1404 393

Answer:

(c) 18.55

Explanation:

The law of sines tells you ...

y/sin(106°) = 15/sin(51°)

y = 15×sin(106°)/sin(51°)

y ≈ 18.55

_____

The same kind of proportion can find x:

x = 15×sin(23°)/sin(51°)

x ≈ 7.54

Please note that the question posted here asks for the value of y. The value of x and the complete triangle solution are provided as a courtesy to those who may be asked for other values in this triangle.