Perceived weight whilst running up hill

Not sure if this is the proper forum to pose this question, but here goes anyway-

Imagine a 190 lb. person running on a level surface at a constant pace of 9 minutes per mile. Now imagine that same person moving at the same pace on a 10 degree incline. What would be the perceived weight of the person if they were running with no incline?

Logic- The amount of energy to propel a 190 lb. person can be figured out, and the additional energy needed to move up an incline can also be figured out. I'd like to know the formula based on incline to the percentage of perceived weight increase or decrease.

Any takers to come up with a formula?

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$