Answer: To find the vertical distance that Rod has traveled, we can use trigonometry, specifically the sine function.
The formula for finding the vertical distance (V) is given by:
V = Distance * sin(Angle)
where:
Distance = 320 m (the distance Rod walks up the hill)
Angle = 12 degrees (the angle of elevation)
Now, let's calculate the vertical distance:
V = 320 * sin(12°)
Using a calculator:
V ≈ 320 * 0.208
V ≈ 66.56
So, the vertical distance that Rod has traveled is approximately 66.56 meters.