Answer:
47.5
Explanation:
What is the law of sines?
The law of sines states that for any triangle:
side A (which is opposite to angle A) divided by sin(angle A) = side B (which is opposite to angle B) divided by sin(angle B).
Let's see if we can use this in the problem.
We have 2 angles, 1 side, and 1 variable for the side. we can set up an equation this way;
58/sin(39degrees) = v/sin(31degrees)
isolate v:
58sin(31degrees)/sin(39degrees) = v
We can plug this into a graphing calculator to get:
47.46740892
We round to the nearest 10th to get
47.5