Answer : The gradient of the hill is 960 m/km and and he won't be able to climb.
Solution : Given,
Maximum gradient = 500 m/km
Total distance = 0.5 km
Initial elevation = 20 m
Final elevation = 500 m
Formula used :
[tex]Gradient=\frac{\text{ Change in elevation}}{\text{ Total distance}}[/tex]
Now put all the given values in this formula, we get the gradient of the hill.
[tex]Gradient=\frac{500m-20m}{0.5km}=960m/km[/tex]
Gradient of the hill is 960 m/km which is greater than the 500 m/km. So, he won't be able to climb.
Therefore, the gradient of the hill is 960 m/km and and he won't be able to climb.