Angles on the clock

What is the acute angle between the hour and minute hands?

What time will it be when the same angle occurs for the first time after 10:10?

Rich Tasks 69: Convince Me That...

Problem 61: Triangle and Circles

Rich Tasks 8: Divide 72 with different ratios

Rich Tasks 7: Equivalent Ratios

Problem 27: Three Candles

When one of the three equal-sized candles completely melted, the second has a height of 3 cms and the third one has a height of 5 cms.

At the instant when the second candle totally finishes, the third candle's length is measured 2.5 cms.

What was the initial length of the candles?