Answer:
Step-by-step explanation:
We will use the co-function identity for sine, where:
Since sin(21)=0.358=cos(x). This means that:
Solve for x. Add x to both sides:
Subtract 21 from both sides:
Hence:
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The minute hand has swept through 46 minutes on the clock. You have to set up a ratio to solve this:
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You can compare the 60 minutes on a clock to 360 degrees because 60 minutes on a clock is one whole rotation. So then, you cross multiply and simplify:
Therefore, the minute hand has swept through an angle with a measure of 276 degrees.