The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many
1 answer:
Answer:
a. 120 degrees
b. 2.0944 radians
Step-by-step explanation:
From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math
20 / 5min = 4 times
4 * 30 degrees = 120 degrees
We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula
degrees * = radians
120 * = radians
2.0944 = radians
You might be interested in
Since this is a right triangle, you can use the pythagorean theorem, , to find XY. Since we know that 15 and 17 are our legs and that XY is the hypotenuse, we can solve it as such:
In short, XY is √514, or 22.67 rounded to the hundreths, units long.