Download MATH FOR LIBERAL ARTS 1430

PRACTICE TEST #6 MATH 1420
692011
1. Use an algebraic equation to find the measure of
each angle that is represented in terms of x.
2x + 40º
4030º
ºº
2. Use an algebraic equation to find the measure of each
angle that is represented in terms of x.
12x - 45º
6x + 39º
2x + 30º
3. Find the measure of angle A for the triangle shown.
C
4. Use similar triangles and the fact that corresponding sides
are proportional to find the missing length, x.

33 in.
58º
A
24in
in.
B
11 in.
39 in.
6. Δ ABC and Δ ADE are similar. Find the length of side
E
CA.
12
6
C
13 in.
x
3
D
7. Use the Pythagorean Theorem to find the missing
length in the right triangle.
B
A
8. Two angles of a triangle have the same measure and the
third angle is 90° greater than the measure of the other two.
Find the measure of each angle.
c
7
x
13 in.
39 in.
5. Use similar triangles and the fact that
corresponding sides are proportional to find the
missing length, x.
5 in.

x + 90º
x
x
24
9. Use similar triangles to solve. A person who is 5
feet tall is standing 143 feet from the base of a tree,
and the tree casts a 154 foot shadow. The person’s
shadow is 11 feet in length. What is the height of the
tree?
10. Use the Pythagorean Theorem to solve the following.
The doorway into a room is 5 feet wide and 12 feet high.
What is the length of the diagonal? Round your answer to
the nearest tenth.
The
Tree
5 ft.
11 ft.
143 ft.
11. Use the given right triangle to find ratios, in
reduced form for sin A, cos A, and tanA.
Answers must be in this order.
12. Find the measure of side a. Round your answer to the
B
nearest whole number.
B
a
13
85
C
A
84
A
38º
b = 30 cm
C
13. Use the inverse trigonometric keys on a calculator
to find the measure of angle A. Round your answer to
B
the nearest whole number.
51 m
14. Use the inverse trigonometric keys on a calculator to find
the measure of angle A. Round your answer to
the nearest whole number.
B
28 m
33 m
C
A
15. Use the given right triangle to find ratios, in
reduced form for sin A, cos A, and tanA.
Answers must be in this order.
A
16. Use the given right triangle to find ratios, in reduced
form for sin A, cos A, and tanA.
B
B
Answers must be in this order.
15 m
1.
50, 40
2.
123,123
3.
32
4.
8
5.
15
6.
6
7.
25
8.
30, 30, 120 or 30, 120
9.
70
10.
13
11.
13/85, 84/85, 13/84
12.
23
13.
40 º
14.
37 º
15.
11/61, 60/61, 11/60
16.
3/5, 4/5, 3/4
9m
C
A
ANSWERS:
C
A
61 cm
60 cm
17 m
C