For questions #1-26, leave your answers in reduced radical form. NO DECIMALS!!!
Use the triangle below for the next 2 questions.
1 point
1
Question 1
1.
Find the value of a.
1 point
1
Question 2
2.
Find the value of c.
Use the triangle below for the next 2 questions.
1 point
1
Question 3
3.
Find the value of b.
1 point
1
Question 4
4.
Find the value of c.
Use the triangle below for the next 2 questions.
1 point
1
Question 5
5.
Find the value of a.
1 point
1
Question 6
6.
Find the value of c.
Use the triangle below for the next 2 questions.
1 point
1
Question 7
7.
Find the value of a.
1 point
1
Question 8
8.
Find the value of c.
Use the triangle below for the next 2 questions.
1 point
1
Question 9
9.
Find the value of b.
1 point
1
Question 10
10.
Find the value of c.
Use the triangle below for the next 2 questions.
1 point
1
Question 11
11.
Find the value of a.
1 point
1
Question 12
12.
Find the value of b.
Use the triangle below for the next 2 questions.
1 point
1
Question 13
13.
Find the value of a.
1 point
1
Question 14
14.
Find the value of b.
Use the triangle below for the next 2 questions.
1 point
1
Question 15
15.
Find the value of a.
1 point
1
Question 16
16.
Find the value of b.
Use the triangle below for the next 2 questions.
1 point
1
Question 17
17.
Find the value of a.
1 point
1
Question 18
18.
Find the value of b.
Use the triangle below for the next 2 questions.
1 point
1
Question 19
19.
Find the value of a.
1 point
1
Question 20
20.
Find the value of b.
Use the square below for the next 2 questions.
1 point
1
Question 21
21.
Find the value of a.
1 point
1
Question 22
22.
Find the value of b.
Use the equilateral triangle below for the next 2 questions.
1 point
1
Question 23
23.
Find the value of a.
1 point
1
Question 24
24.
Find the value of b.
2 points
2
Question 25
25.
The length of the side of a square is 6. Find the length of the diagonal.
2 points
2
Question 26
26.
The length of the side of an equilateral triangle is 20. Find the length of the altitude.
Use the diagram below for the next 4 questions.
For each question, find the indicated trigonometric ratios. Leave your answers as reduced fractions.
1 point
1
Question 27
27.
cos\angle{Z}
1 point
1
Question 28
28.
sin\angle{E}
1 point
1
Question 29
29.
tan\angle{J}
1 point
1
Question 30
30.
sin\angle{F}
2 points
2
Question 31
31.
Use the diagram below to find the value of x. Round your answer to the nearest tenth.
2 points
2
Question 32
32.
Use the diagram below to find the value of x. Round your answer to the nearest tenth.
2 points
2
Question 33
33.
Use the diagram below to find the value of x. Round your answer to the nearest tenth.
2 points
2
Question 34
34.
Use the diagram below to find the value of x. Round your answer to the nearest tenth.
2 points
2
Question 35
35.
Use the diagram below to find m\angle{R}. Round your answer to the nearest tenth.
2 points
2
Question 36
36.
Use the diagram below to find m\angle{R}. Round your answer to the nearest tenth.
Use the triangle below for the next 3 questions.
For each question, round your answer to the nearest tenth.
1 point
1
Question 37
37.
Find the length of AB
2 points
2
Question 38
38.
Find m\angle{A}
2 points
2
Question 39
39.
Find m\angle{B}
Use the triangle below for the next 3 questions.
For each question, round your answer to the nearest tenth.
2 points
2
Question 40
40.
Find the length of AC
2 points
2
Question 41
41.
Find the length of BC
1 point
1
Question 42
42.
Find m\angle{B}
Use the triangle below for the next 3 questions.
For each question, round your answer to the nearest tenth.
2 points
2
Question 43
43.
Find the length of XY
2 points
2
Question 44
44.
Find the length of XZ
1 point
1
Question 45
45.
Find m\angle{Y}
2 points
2
Question 46
46.
The diagonal length of a skateboard ramp is 15 feet. If the ramp's angle of elevation is 11o, find the height of the ramp to the nearest tenth of a foot.
2 points
2
Question 47
47.
A 24-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. What angle does the ladder make with the ground? Round your answer to the nearest tenth.
2 points
2
Question 48
48.
A lighthouse keeper observes that there is a 15o angle of depression between the horizontal and the line of sight to a ship. If the keeper is 25 m above the water, how far is the ship from shore to the nearest tenth?
0 points
0
Question 49
49.
BONUS:
Using the diagram below, find the indicated height (h). Round your answer to the nearest tenth.