Download math 2- unit 2-trigonometry (sample test)

MATH 2- UNIT 2-TRIGONOMETRY (SAMPLE TEST)-SHOW ALL WORK NEATLY ON A
SEPERATE PIECE OF PAPER
Short Answer
1. What is the length of the diagonal of a square with side lengths
2. The length of the diagonal of a square is 22. What is the length of each side?
3. Find the value of x and y.
y
x
60°
26
4. What is the length of an altitude of an equilateral triangle with side lengths
?
5. The altitude of an equilateral triangle is 6. What is the length of each side?
7. Find the value of x.
8. Find tan A for the right triangle below:
9. A tree 19 feet tall casts a shadow which forms an angle of 49° with the ground. How long is the shadow to the
nearest hundredth?
10. Find sin P, cos P, tan P.
11. To find the height of a tower, a surveyor positions a transit that is 2 meters tall at a spot 40 meters from the base of
the tower. She measures the angle of elevation to the top of the tower to be 46°. What is the height of the tower, to
the nearest meter?
12. Find the value of x, to the nearest whole number. (not drawn to scale)
13. A parasailing company uses a 50-foot cable to connect the parasail to the back of the boat. About how far is the
parasail from the water when the cable has a 35° angle of elevation? Explain how you got your answer.
14. Solve
using the diagram and the given measurements.
(Note: The triangle is not drawn to scale.)
B = 49°, a = 4
15. An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation from the runway when it
is 5000 feet from the runway? Explain.
16. A ladder 12 feet long makes an angle of 67° with the ground as it leans against a store. How far up the side of the
store does the ladder reach?
17. A slide 2.8 m long makes an angle of 29° with the ground. How high is the top of the slide above the ground?
18. If  is an acute angle of a right triangle and
find the values sin
and tan
19. After the storm, Brett's flagpole fell over against his house. The top of the flagpole was resting on a spot 20 feet
above the ground. The bottom of the flagpole was on the ground 21 feet away from the house, forming a right
triangle. What is the length of the flagpole?
20. The cosine of a 10 angle is
, Which trigonometric function has the same value?
21.Find the height in feet of the Eiffel Tower if the angle of elevation from the base is 85.3 and the distance from the center to the outside of each leg is 80 feet.
22.
Find the length of the base of the trapezoid. (The trapezoid is NOT isosceles.)
30
15
53o
24
30o
23. The eyes of a basketball player are 6. feet above the floor. The player is at the free-throw line,
which is 15 feet from the center of the basket rim. The rim is 10 feet above the floor. What is the angle
of elevation from the player’s eyes to the center of the rim?
10 ft
6 ft
MATH 2- UNIT 2-TRIGONOMETRY (SAMPLE TEST)-SHOW ALL WORK NEATLY ON A
SEPERATE PIECE OF PAPER
Answer Section
SHORT ANSWER
1. ANS:
14
2. ANS:
3. ANS:
x = 13, y =
4. ANS:
12
5. ANS:
6. ANS:
d=
7. ANS:
8. ANS:
9. ANS:
16.52 ft
10. ANS:
11. ANS:
43 m
12. ANS:
5
0.108 inch
13. ANS:
About 28.7 ft. Let x represent the distance from the parasail to the water.
14. ANS:
15. ANS:
About
.
so
,
,
16. ANS:
11.05 ft
17. ANS:
1.36 m
18. ANS:
19. ANS:
29ft
20. ANS:
sine 80
21. 973ft
22. 59.8ft ( approximately)
23. approximately 15⁰
so
.