Peter hikes 500 meters up a hill that makes an angle of 4 degrees with the horizontal. To the nearest tenth of a meter, what horizontal distance did he cover?
To find the horizontal distance covered by Peter, we can use trigonometry.
Using the formula:
sin(angle) = opposite/hypotenuse
We can plug in the values we know:
sin(4 degrees) = x/500m
Now, solve for x:
x = 500m * sin(4 degrees)
x ≈ 34.6 meters
Therefore, Peter covered approximately 34.6 meters horizontally.