Solve for the indicated variable in each 45-45-90 triangle or 30-60-90 triangle. All answers must be in simplified radical form. No decimals!! (1 point each)
1 point
1
Question 1
1.
Solve for a.
1 point
1
Question 2
2.
Solve for b.
1 point
1
Question 3
3.
Solve for a.
1 point
1
Question 4
4.
Solve for b.
1 point
1
Question 5
5.
Solve for c.
1 point
1
Question 6
6.
Solve for d.
1 point
1
Question 7
7.
Solve for c.
1 point
1
Question 8
8.
Solve for d.
1 point
1
Question 9
9.
Solve for f.
1 point
1
Question 10
10.
Solve for e.
1 point
1
Question 11
11.
Solve for g.
1 point
1
Question 12
12.
Solve for f.
1 point
1
Question 13
13.
Solve for c.
1 point
1
Question 14
14.
Solve for c.
1 point
1
Question 15
15.
Solve for d.
1 point
1
Question 16
16.
Solve for g.
1 point
1
Question 17
17.
Solve for h.
1 point
1
Question 18
18.
Solve for y.
1 point
1
Question 19
19.
Solve for x.
1 point
1
Question 20
20.
Solve for a
1 point
1
Question 21
21.
Solve for b.
2 points
2
Question 22
22.
The length of the side of a SQUARE is 8. Find the length of a diagonal.
2 points
2
Question 23
23.
The length of the side of an EQUILATERAL TRIANGLE is 14. Find the length of an altitude.
TRIGONOMETRY
Solve for the given variable. Round angles to the nearest tenth of a degree and sides to the nearest hundredth. (1 point each)
1 point
1
Question 24
24.
Solve for x.
1 point
1
Question 25
25.
Solve for y.
1 point
1
Question 26
26.
Solve for x.
1 point
1
Question 27
27.
Solve for y.
1 point
1
Question 28
28.
Solve for x.
1 point
1
Question 29
29.
Solve for y.
1 point
1
Question 30
30.
Solve for x.
1 point
1
Question 31
31.
Solve for y.
1 point
1
Question 32
32.
Solve for x.
1 point
1
Question 33
33.
Solve for y.
1 point
1
Question 34
34.
Solve for x.
1 point
1
Question 35
35.
Solve for y.
1 point
1
Question 36
36.
Solve for y.
1 point
1
Question 37
37.
Solve for x.
1 point
1
Question 38
38.
In ∆XYZ, <Z is a right angle.
If Sin X = 3/5, find the length of XZ.
1 point
1
Question 39
39.
In ∆XYZ, <Z is a right angle.
If Sin X = 3/5, find the ratio Tan Y.
Leave your answer as a simplified fraction.
2 points
2
Question 40
40.
The lengths of a pair of adjacent sides of a rectangle are 14 and 22. Find, to the nearest tenth degree, the angle a diagonal makes with the shorter side.
2 points
2
Question 41
41.
Mrs. Marsh is standing on a cliff at the edge of the ocean and she spots a raft. The cliff is 18m above sea level and the angle of depression is 7 degrees. Find the distance to the nearest hundredth from the raft to the base of the cliff.
3 points
3
Question 42
42.
The plexiglass basketball backboard in the gym is cracked, and you need to replace it. You want to know how big a piece of plexiglass to order. The free-throw line is 15 feet from a spot directly under the backboard.
From the free throw line, you measure the angle of elevation to the bottom of the backboard to be 32.3 degrees and the angle of elevation to the top of the backboard to be 40.9 degrees. How tall is the piece of plexiglass? Round all answers to the nearest tenth.
Hint: Draw 2 triangles and subtract.
2 points
2
Question 43
43.
The exit ramp off a freeway has a constant 23% grade. What is the angle of elevation? Round your answer to the nearest whole degree.
0 points
0
Question 44
44.
*BONUS*
Find the AREA of the figure. Round your answer to the nearest tenth.