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Earn +20 ptsQ: Diff between 1 degrees and -17 degrees?
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What is the distance between two boats that are in a straight line from the base of a vertical cliff that is 36m high and their angles of depression are 17 degrees and 25 degrees respectively?
Use trigonometry to find the distance of each boat from the cliff's base and subtracting both distances gives a distance of 40.5 meters between them to 1 d.p.
Is the sine of an acute angle is greater that 1?
No. The sine of an acute angle is less than 1. An acute angle is less than 90 degrees. The sine of 0 degrees is 0, and the sine of 90 degrees is +1. So the sines of the angles between 0 degrees and 90 degrees are less than 1.
What is the angle between the clock hands at 1-30?
31
What is the angle between the minute and hour hands at 3.20?
The minute hand will be 4/12 = 1/3 of 360 degrees clockwise from up, so 120 degrees. The hour hand will be 10/36 = 100 degrees clockwise from up. 120 - 100 = 20 degrees.
What is the supplement of 179 degrees?
1 degree because 179+1 = 180 degrees
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