Unit 5/8 Test
- 1.
A) Write three (3) personal individual goals. Be specific. B) What kind of classwork activity would you like or what kind of group activity would you suggest for next six weeks?
- 2.
In the following triangle, what is sin A = ?
- A.
5/12
- B.
12/5
- C.
5/13
- D.
12/13
Correct Answer
C. 5/13 -
- 3.
Which equation would best help solve for x?
- A.
Sin 25 = x/48
- B.
Cos 25 = x/48
- C.
Tan 25 = x/48
- D.
Tan 25 = 48/x
Correct Answer
B. Cos 25 = x/48 -
- 4.
In a right angle triangle ABC, AB = 12 m, angle ABC = 90 degrees and angle BAC = 60 degrees. The length of side AC is
- A.
6 cm
- B.
24 cm
- C.
10.4 cm
- D.
16.5 cm
Correct Answer
B. 24 cm -
- 5.
One end of a piece of wire 14 m long is attached to the top of a vertical pole and the other end is attached to the ground at an angle of 70 degrees to the ground. What is the height of the pole?
- A.
4.8 m
- B.
14.9 cm
- C.
13.2 m
- D.
38.5 m
Correct Answer
C. 13.2 m -
- 6.
Find the unknown side length. Round answer to the nearest hundredth if necessary.
- A.
11.70 m
- B.
137 m
- C.
105 m
- D.
10.25 m
Correct Answer
D. 10.25 m -
- 7.
If a = 7 and c = 25, b = ?
- A.
18
- B.
24
- C.
26
- D.
32
Correct Answer
B. 24 -
- 8.
If b = 15 and c = 24, a = ? (Round answer to the tenth)
- A.
28.3
- B.
18.7
- C.
9
- D.
39
Correct Answer
B. 18.7 -
- 9.
A triangle with sides length of 16, 30, and 34 units is a right triangle.
- A.
True
- B.
False
Correct Answer
A. True -
- 10.
A triangle with sides length of 7, 24, and 25 units is a right triangle.
- A.
True
- B.
False
Correct Answer
A. True -
- 11.
Find x.
- A.
2
- B.
4
- C.
Cannot be determined from information.
Correct Answer
B. 4Explanation
This is a special triangle (why?)
The ratios of sides of a 45-45-90 triangle are x-x-x*sqrt(2).Rate this question:
-
- 12.
Find x.
- A.
7 * sqrt(3)
- B.
7
- C.
7 * sqrt(2)
Correct Answer
B. 7Explanation
The ratios of sides of a 45-45-90 triangle are x-x-x*sqrt(2).Rate this question:
-
- 13.
What is the definition of "sine"?
- A.
Opposite/Adjacent
- B.
Hypotenuse/Adjacent
- C.
Opposite/Hypotenuse
- D.
Adjacent/Opposite
Correct Answer
C. Opposite/Hypotenuse -
- 14.
What is the definition of "cosine"?
- A.
Hypotenuse/Adjacent
- B.
Adjacent/Opposite
- C.
Hypotenuse/opposite
- D.
Adjacent/Hypotenuse
Correct Answer
D. Adjacent/Hypotenuse -
- 15.
What is the definition of "tangent"?
- A.
Adjacent/Hypotenuse
- B.
Hypotenuse/opposite
- C.
Opposite/Adjacent
- D.
Adjacent/Opposite
Correct Answer
C. Opposite/Adjacent -
- 16.
From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. The lighthouse was built at sea level.
- A.
107 ft
- B.
207 ft
- C.
187 ft
- D.
210 ft
Correct Answer
B. 207 ft -
- 17.
Evaluate x if tan x = 2.45(answer correct to 1 decimal place)
- A.
67.8°
- B.
67.7°
- C.
1.2°
- D.
1.1°
- E.
75.3°
Correct Answer
A. 67.8°Explanation
Make sure that your calculator is in the correct mode!Rate this question:
-
- 18.
Cos 23 = (answer correct to 2 decimal places)
- A.
0.935
- B.
0.94
- C.
0.921
- D.
0.92
- E.
-0.53
Correct Answer
D. 0.92Explanation
make sure that your calculator is in the correct modeRate this question:
-
- 19.
Tan 74o = (answer to 1 decimal place)
- A.
-5.7
- B.
3.4
- C.
3.5
- D.
2.3
Correct Answer
C. 3.5Explanation
make sure that your calculator is in the correct modeRate this question:
-
- 20.
Evaluate x if cos x =0.156(correct to the neearest degree)
- A.
81°
- B.
1°
- C.
90°
Correct Answer
A. 81° -
- 21.
Name (First and Last)
Correct Answer
N/AExplanation
-10 deducted no first or last name and a "0" will be received if you didn't use your legal student nameRate this question:
- 22.
In the diagram below, buildings P and Q are 50m apart. The angle of elevation of T from R is 53° and the angle of depression of V from R is 41°. Determine the height TV of building Q?
- A.
95.3m
- B.
73.6m
- C.
110m
- D.
83.4m
Correct Answer
C. 110m -
- 23.
If the side lengths of a triangle are 7, 6, and 9, the triangle is _____.
- A.
Obtuse
- B.
Right
- C.
Acute
- D.
Cannot be formed
Correct Answer
C. Acute -
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