For questions #1-26, leave your answers in reduced radical form. NO DECIMALS!!!
Use the triangle below for the next 2 questions.
1
Question 1
1.
Find the value of a.
1
Question 2
2.
Find the value of c.
Use the triangle below for the next 2 questions.
1
Question 3
3.
Find the value of b.
1
Question 4
4.
Find the value of c.
Use the triangle below for the next 2 questions.
1
Question 5
5.
Find the value of a.
1
Question 6
6.
Find the value of c.
Use the triangle below for the next 2 questions.
1
Question 7
7.
Find the value of a.
1
Question 8
8.
Find the value of c.
Use the triangle below for the next 2 questions.
1
Question 9
9.
Find the value of b.
1
Question 10
10.
Find the value of c.
Use the triangle below for the next 2 questions.
1
Question 11
11.
Find the value of a.
1
Question 12
12.
Find the value of b.
Use the triangle below for the next 2 questions.
1
Question 13
13.
Find the value of a.
1
Question 14
14.
Find the value of b.
Use the triangle below for the next 2 questions.
1
Question 15
15.
Find the value of a.
1
Question 16
16.
Find the value of b.
Use the triangle below for the next 2 questions.
1
Question 17
17.
Find the value of a.
1
Question 18
18.
Find the value of b.
Use the triangle below for the next 2 questions.
1
Question 19
19.
Find the value of a.
1
Question 20
20.
Find the value of b.
Use the square below for the next 2 questions.
1
Question 21
21.
Find the value of a.
1
Question 22
22.
Find the value of b.
Use the equilateral triangle below for the next 2 questions.
1
Question 23
23.
Find the value of a.
1
Question 24
24.
Find the value of b.
Question 25
25.
The length of the side of a square is 6. Find the length of the diagonal.
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
Question 27
27.
cos\angle{Z}
1
Question 28
28.
sin\angle{E}
1
Question 29
29.
tan\angle{J}
1
Question 30
30.
sin\angle{F}
Question 31
31.
Use the diagram below to find the value of x. Round your answer to the nearest tenth.
Question 32
32.
Use the diagram below to find the value of x. Round your answer to the nearest tenth.
Question 33
33.
Use the diagram below to find the value of x. Round your answer to the nearest tenth.
Question 34
34.
Use the diagram below to find the value of x. Round your answer to the nearest tenth.
Question 35
35.
Use the diagram below to find m\angle{R}. Round your answer to the nearest tenth.
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
Question 37
37.
Find the length of AB
2
Question 38
38.
Find m\angle{A}
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
Question 40
40.
Find the length of AC
2
Question 41
41.
Find the length of BC
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
Question 43
43.
Find the length of XY
2
Question 44
44.
Find the length of XZ
1
Question 45
45.
Find m\angle{Y}
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.
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.
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?
Question 49
49.
BONUS:
Using the diagram below, find the indicated height (h). Round your answer to the nearest tenth.