Look at the clock face. Through how many right angles does the minute hand moves between $0800 h o u r s a n d 1030 h o u r s ?$

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Solution

Step 1: Finding the number of hours between $0800 h o u r s a n d 1030 h o u r s .$
Difference: $1030 h o u r s - 0800 h o u r s =$ $2 \frac{1}{2} h o u r s$
Step 2: Finding the right angles by the minute hand in $2 \frac{1}{2} h o u r s$
The minute hand turns $360 °$ in $1 h o u r .$
So, the number of right angles in $1 h o u r =$ $\frac{360 °}{90 °} = 4 r i g h t a n g l e s$
Hence, the number of right angles in $2 \frac{1}{2} h o u r s$ $=$ $2 \frac{1}{2} \times 4 = \frac{5}{2} \times 4 = 5 \times 2 = 10$
Final answer: The minute hand turns by $10$ right angles between $0800 h o u r s a n d 1030 h o u r s .$

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