Answer And Explanation:
To find the length of side B, we can use the trigonometric function tangent (tan) because we have the length of side A and the angle Y.
First, let's draw a triangle with side A and angle Y labeled.
```
/
/|
A / |
/ Y |
/____|
B
```
Now, let's apply the tangent function:
tan(Y) = A/B
Substituting the known values:
tan(12°) = 12/B
To isolate B, we can rearrange the equation:
B = 12 / tan(12°)
Using a calculator, we can find the value of tan(12°) to be approximately 0.2126.
Therefore,
B = 12 / 0.2126
Simplifying this equation, we find that the length of side B is approximately 56.49 meters.
So, the length of side B is approximately 56.49 meters.