Questions 1-26 contain material related to Special Right Triangles. All answers should either be whole numbers, or left in radical form if necessary. There should be NO DECIMALS!
Use the triangle below for the next two questions.
1 point
1
Question 1
1.
What is the measure of a?
1 point
1
Question 2
2.
What is the measure of b?
Use the triangle below for the next two questions.
1 point
1
Question 3
3.
What is the measure of a?
1 point
1
Question 4
4.
What is the measure of c?
Use the triangle below for the next two questions.
1 point
1
Question 5
5.
What is the measure of a?
1 point
1
Question 6
6.
What is the measure of c?
Use the triangle below for the next two questions.
1 point
1
Question 7
7.
What is the measure of a?
1 point
1
Question 8
8.
What is the measure of b?
Use the triangle below for the next two questions.
1 point
1
Question 9
9.
What is the measure of c?
1 point
1
Question 10
10.
What is the measure of d?
Use the triangle below for the next two questions.
1 point
1
Question 11
11.
What is the measure of a?
1 point
1
Question 12
12.
What is the measure of b?
Use the triangle below for the next two questions.
1 point
1
Question 13
13.
What is the measure of a?
1 point
1
Question 14
14.
What is the measure of b?
Use the triangle below for the next two questions.
1 point
1
Question 15
15.
What is the measure of a?
1 point
1
Question 16
16.
What is the measure of b?
Use the triangle below for the next two questions.
1 point
1
Question 17
17.
What is the measure of a?
1 point
1
Question 18
18.
What is the measure of b?
Use the triangle below for the next two questions.
1 point
1
Question 19
19.
What is the measure of a?
1 point
1
Question 20
20.
What is the measure of b?
Use the SQUARE below for the next two questions.
1 point
1
Question 21
21.
What is the measure of a?
1 point
1
Question 22
22.
What is the measure of b?
Use the EQUILATERAL TRIANGLE below for the next two questions.
1 point
1
Question 23
23.
What is the measure of a?
1 point
1
Question 24
24.
What is the measure of b?
2 points
2
Question 25
25.
The length of the side of a SQUARE is 8. Find the length of a diagonal.
2 points
2
Question 26
26.
The length of the side of an EQUILATERAL TRIANGLE is 14. Find the length of an altitude.
Questions 27-48 contain material related to Trigonometry. Your answers should be either in fractions (if it asks for fractions) or decimals rounded to the nearest TENTH.
Use the following set of triangles to answer the next three questions.
1 point
1
Question 27
27.
What is sin(Z)? Leave your answer as a reduced fraction.
1 point
1
Question 28
28.
What is cos(E)? Leave your answer as a reduced fraction.
1 point
1
Question 29
29.
What is tan(J)? Leave your answer as a reduced fraction.
1 point
1
Question 30
30.
What is cos(F)? Leave your answer as a reduced fraction.
2 points
2
Question 31
31.
Use the triangle below to find the value of x. Round your answer to the nearest TENTH.
2 points
2
Question 32
32.
Use the triangle below to find the value of x. Round your answer to the nearest TENTH.
2 points
2
Question 33
33.
Use the triangle below to find the value of x. Round your answer to the nearest TENTH.
2 points
2
Question 34
34.
Use the triangle below to find the value of x. Round your answer to the nearest TENTH.
2 points
2
Question 35
35.
Use the triangle below to find the measure of Angle R. Round your answer to the nearest TENTH.
2 points
2
Question 36
36.
Use the triangle below to find the measure of Angle R. Round your answer to the nearest TENTH.
Use the following triangle for the next three questions.
2 points
2
Question 37
37.
What is the measure of Angle A?
1 point
1
Question 38
38.
What is the measure of Angle B?
2 points
2
Question 39
39.
What is the length of AB?
Use the following triangle for the next three questions.
1 point
1
Question 40
40.
What is the measure of Angle B?
2 points
2
Question 41
41.
What is the length of AC?
2 points
2
Question 42
42.
What is the length of BC?
Use the following triangle for the next three questions.
1 point
1
Question 43
43.
What is the measure of angle Y?
2 points
2
Question 44
44.
What is the length of XY?
2 points
2
Question 45
45.
What is the length of XZ?
Questions 46-48 are word problems. Be sure to draw a picture, and round your answers to the nearest tenth. You do not need a unit.
2 points
2
Question 46
46.
The diagonal length of a skateboard ramp is 12 feet. If the ramp's angle of elevation is 9 degrees, find the height of the ramp to the nearest tenth of a foot.
2 points
2
Question 47
47.
A 30-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the wall. What angle does the ladder make with the ground? Round your answer to the nearest tenth of a degree.
2 points
2
Question 48
48.
A lighthouse keeper observes there is a 10 degree 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? Round your answer to the nearest tenth.
The following question is an optional BONUS problem.