Find the complement and supplement for each angle.
1.
2.
3.
4.
Find the measure of each unknown angle.
5.
6.
7. supplementary angles with measures
and
degrees.
8. complementary angles with measures
and
degrees.
Find the measure of the smaller angle formed by the hands of a clock at the
following times.
9.
10. 3:15
Perform each calculation.
11.
12.
13.
TRIGONOMETRY
Convert each angle measure to decimal degrees. If applicable, round to the nearest
thousandth of a degree.
14.
15.
16.
Convert each angle measure to degree, minutes, and seconds. If applicable, round
to the nearest second.
17.
18.
19.
20. A turntable makes 45 revolutions per minute. How many revolutions does it make per
second?
21. A tire is rotating 600 times per minute. Through how many degrees does a point on the
edge of the tire move in sec?
22. Due to Earth’s rotation, celestial objects like the moon and the stars appear to move
across the sky, rising in the east and setting in the west. As a result, if a telescope on Earth
remains stationary while viewing a celestial object, the object will slowly move outside the
viewing field of the telescope. For this reason, a motor is often attached to telescopes so that
the telescope rotates at the same rate as Earth. Determine how long it should take the motor
to turn the telescope through an angle of 1 min in a direction perpendicular to Earth’s axis.
TRIGONOMETRY