1. If a = 2, b = 2, then a = a. 30° b. 45° c. 60° ▬▬ 2. If a = 2, c = 4, then ß = a. 15° b. 30° c. 45° 3. If b = 1, c = 2, then a = b. 30° a. 15° c. 45° 4. If a = 2, b = 7, then a = a. 15.9° b. 16.6° c. 73.4° — d. 90° d. 60° d. 60° d. 74°

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Bis
1. If a = 2, b = 2, then a =
b. 45°
a. 30°
c. 60°
d. 90°
a. 32°
b. 58°
c. 68°
d. 42°
2. If a = 2, c = 4, then ß =
8. In AEFG, if F = 90°, e = 20, and
a. 15°
b. 30°
c. 45°
d. 60°
f = 25, then g is equal to
b. 32
3. If b=
1, c = 2, then a =
a. 5
c. 22
d. 15
a. 15°
b. 30°
c. 45°
d. 60°
4. If a =
2, b = 7, then a =
9. In A HIJ, H = 90°,J = 70°, and
HJ = 10, then IH is equal to
a.3.6 b. 9.4
c. 27.5
a. 15.9° b. 16.6°
c. 73.4°
d. 74°
d. 34.2
5. Solve for the missing angle. Given base
400 and height is 300. Use the figure below.
10. In AKLM, L = 90°, l = 30, and
m = 15. The angle measure of Mis
b. 60° c. 26.6°
a. 30°
d. 63.4°
11. In ANOP, O = 90°, N = 58°, and
ON = 12. What is the value of PN?
a. 22.6 b. 14.2 c. 7.5
d. 6.4
300
xº
400
12. In AQRS, R = 90°, QR = 5, and
RS= 8. The value of S is
a. 50.5° b. 36.9° c. 12.7° d. 72.2°
6. Solve for x. Use the given illustration
below.
d. 58°
a. 38.7° b. 51.3°
c. 32°
13. In AABC, C = 90°, AC = 3,
9
and sin B = What is the lenght of BC?
15'
41
a. 3
b. 4
c. 5
d. 6
28
14. In ADEF, E = 90°, DF = 30, and
6
a. 45.87° b. 46.93°
c. 47.92° d. 46.21°
7. In AABC, if C = 90° and A =32°, then
sec D = Side DE is equal to?
5'
b. 36 c. 60
a. 25
d. 50
15. A 5-m ladder leans against a wall at an angle of 30°. How high up the wall the wall does the
ladder reach?
a. 2.5m
b. 5 m
c. 4.3 m
d. 2.9 m
16. From a point 20 m away from a mango tree. The angle of elevation of the top of the tree is 50⁰.
What is the height of the tree?
a. 15.3m
b. 12.9 m
c. 23.8 m
d. 16.8 m
17. A ship traveled in direction N30°E from the pier at 18 km per hour. After three hours, what is its
distance from the norther direction?
a. 9 km
b. 16 km
c. 27 km
d. 47 km
18. Two lighthouses A and B are on a north-south line. The bearing of a ship at sea from lighthouse
A is S40°E when it is 15 km due east of lighthouse B. What is the distance between the two
lighthouses?
a. 17.88 km
b. 19.76 km
c. 18.87 km
d. 20.16 km
19. As Ric looks up at the top of a monument, he finds that the angle of elevation is 20°. How far
does he stand away from the monument if it is 5 m tall?
a. 11 m
b. 12 m
c. 13 m
d. 14 m
20. From the top of 25-m tower erected at sea level, the angle of depression of a boat at sea
was 25°. How far was the boat from the base of the tower?
a. 54 m
b. 38.6 m
c. 52 m
d. 40.96 m
X°
Transcribed Image Text:Bis 1. If a = 2, b = 2, then a = b. 45° a. 30° c. 60° d. 90° a. 32° b. 58° c. 68° d. 42° 2. If a = 2, c = 4, then ß = 8. In AEFG, if F = 90°, e = 20, and a. 15° b. 30° c. 45° d. 60° f = 25, then g is equal to b. 32 3. If b= 1, c = 2, then a = a. 5 c. 22 d. 15 a. 15° b. 30° c. 45° d. 60° 4. If a = 2, b = 7, then a = 9. In A HIJ, H = 90°,J = 70°, and HJ = 10, then IH is equal to a.3.6 b. 9.4 c. 27.5 a. 15.9° b. 16.6° c. 73.4° d. 74° d. 34.2 5. Solve for the missing angle. Given base 400 and height is 300. Use the figure below. 10. In AKLM, L = 90°, l = 30, and m = 15. The angle measure of Mis b. 60° c. 26.6° a. 30° d. 63.4° 11. In ANOP, O = 90°, N = 58°, and ON = 12. What is the value of PN? a. 22.6 b. 14.2 c. 7.5 d. 6.4 300 xº 400 12. In AQRS, R = 90°, QR = 5, and RS= 8. The value of S is a. 50.5° b. 36.9° c. 12.7° d. 72.2° 6. Solve for x. Use the given illustration below. d. 58° a. 38.7° b. 51.3° c. 32° 13. In AABC, C = 90°, AC = 3, 9 and sin B = What is the lenght of BC? 15' 41 a. 3 b. 4 c. 5 d. 6 28 14. In ADEF, E = 90°, DF = 30, and 6 a. 45.87° b. 46.93° c. 47.92° d. 46.21° 7. In AABC, if C = 90° and A =32°, then sec D = Side DE is equal to? 5' b. 36 c. 60 a. 25 d. 50 15. A 5-m ladder leans against a wall at an angle of 30°. How high up the wall the wall does the ladder reach? a. 2.5m b. 5 m c. 4.3 m d. 2.9 m 16. From a point 20 m away from a mango tree. The angle of elevation of the top of the tree is 50⁰. What is the height of the tree? a. 15.3m b. 12.9 m c. 23.8 m d. 16.8 m 17. A ship traveled in direction N30°E from the pier at 18 km per hour. After three hours, what is its distance from the norther direction? a. 9 km b. 16 km c. 27 km d. 47 km 18. Two lighthouses A and B are on a north-south line. The bearing of a ship at sea from lighthouse A is S40°E when it is 15 km due east of lighthouse B. What is the distance between the two lighthouses? a. 17.88 km b. 19.76 km c. 18.87 km d. 20.16 km 19. As Ric looks up at the top of a monument, he finds that the angle of elevation is 20°. How far does he stand away from the monument if it is 5 m tall? a. 11 m b. 12 m c. 13 m d. 14 m 20. From the top of 25-m tower erected at sea level, the angle of depression of a boat at sea was 25°. How far was the boat from the base of the tower? a. 54 m b. 38.6 m c. 52 m d. 40.96 m X°
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