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Related rate problems are (almost always?) solved by using a formula from geometry. The first three problems that you posted can be solved by drawing a triangle. There are two main parts.
Fill in the geometrical formula with given lengths/distances.
Find the derivative of the formula and fill in with given speeds or changes.
This is a rushed post, I know, but it should get you started. If nobody posts by the time I get back, I'll try to explain in more detail.
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