Download Advanced Math Review 5.1-5.2 Quiz Name: February 2014 Find the

Advanced Math
Review 5.1-5.2 Quiz
Name:
February 2014
Find the measure of the complement and supplement (if possible) for each angle.
1.
2.
3.
4.
1. Complement:_______
2. Complement:_______
3. Complement:_______
4. Complement:_______
1. Supplement:_______
2. Supplement:_______
3. Supplement:_______
4. Supplement:_______
Determine the measure of the positive angle with measure less than
that is coterminal with the given
angle. Then classify the angle by quadrant. Assume the angles are in standard position.
5.
6.
7.
8.
5. Coterminal:_______
6. Coterminal:_______
7. Coterminal:_______
8. Coterminal:_______
5. Quadrant:_______
6. Quadrant:_______
7. Quadrant:_______
8. Quadrant:_______
~What is the formula to convert from degrees to radians?
Convert the degree measure to exact radian measure.
9.
10.
11.
12.
9. Radians:_______
10. Radians:_______
11. Radians:_______
12. Radians:_______
~What is the formula to convert from radians to degrees?
Convert the radian measure to exact degree measure.
13.
14. –
15. –
16.
13. Degrees:_______
14. Degrees:_______
15. Degrees:_______
16. Degrees:_______
Convert the degree measure to radian measure. Round your answers to the nearest hundredth.
17.
18.
17. Radians:_______
18. Radians:_______
Convert the radian measure to degree measure. Round your answers to the nearest hundredth.
19.
20.
19. Degrees:_______
20. Degrees:_______
~What is the formula to find arc length?
Find the measure in radians and degrees of the central angle of a circle subtended by the given arc.
Round approximate answers to the nearest hundredth.
21.
21.
22.
_________
22.
_________
Find the length of the arc that subtends a central angle with the given measure in a circle with the given
radius. Round answers to the nearest hundredth.
23.
23.
24.
_________
24.
_________
~What is the formula to find the area of a sector?
Find the area, to the nearest square unit, of the sector of a circle with the given radius and central angle.
25.
25.
26.
_________
26.
_________
27. Find the values of the six trig functions of
for the right triangle given. Reduce all ratios when appropriate.
10
6
28. Find the values of the six trig functions of
for the right triangle given. Reduce all ratios when appropriate.
3
5
29. Let
be an acute angle of a right triangle for which
triangle first and label all the sides!
. Find the other five trig functions. Draw a
30. Let
be an acute angle of a right triangle for which
. Find the other five trig functions. Draw a
triangle first and label all the sides!
~Label the sides of this
triangle
Find the six trigonometric functions for a
~Label the sides of this
Find the six trigonometric functions for a
triangle.
triangle.
triangle.
31. Find
31.)_________________
32. Find
32.)_________________
33. Find
33.)_________________
34. Find
34.)_________________
35. Use your calculator to find the value of the trigonometric function to four decimal places (nearest ten
thousandth). Don’t forget to check the mode of your calculator before doing these!!
a.
b.
35a.)________________
35b.)________________
c.
d.
35c.)________________
35d.)________________
Round answers to the nearest tenth.
36. A rocket is fired in the air at an angle of elevation of
away, what is its height?
. When the rocket is a ground-distance of 1.5 miles
36.)_________________
37. From a point 230 meters from the base of an apple tree, the angle of elevation to the top of the tree is
Find the height of the tree to the nearest meter.
.
37.)_________________
38. A 50-foot ladder is leaning against a building. The angle of elevation of the ladder to the top of the building is
. How far away is the ladder from the base of the building?
38.)_________________
39. A 65-foot ladder is leaning against a house. The angle the ladder makes with the building is
How far away is the base of the ladder from the house?
.
39.)_________________
40. An airplane is flying at an altitude of 15,000 feet. The pilot spots the far end of the runway at an angle of
depression of
What is the ground distance to the far end of the runway?
40.)_________________
41. Two children are playing up in a tree house that is 25 feet off the ground. There is a special slide they can
use to exit the tree house. They see the slide at an angle of depression of
. How long is the slide?
41.)_________________