Answer:
336 feet
Explanation:
You want the change in elevation as a result of driving 4813 feet up a road with a 4° incline.
Sine
The sine function relates an angle to the ratio of the opposite side and the hypotenuse in a right triangle:
Sin = Opposite/Hypotenuse
In this application, we have ...
sin(4°) = (elevation change)/(distance along the road)
elevation change = (4813 ft)·sin(4°) ≈ 336 ft
The driver's increase in altitude is about 336 feet.