The sides of a triangle ABC are AB 15 cm, BC 18 cm, and CA 24 cm. Determine the distance from the point of intersection of the angular bisectors to side AB. A. 5.21 cm B. 3.78 cm C. 4.73 cm D. 6.25 cm 1.

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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Question
164
SET 4 Solve the problem given and there will be choices. In this part, you will practice solving
different problems involving other elements of triangles and spherical trigonometry. WRITE
ONLY THE LETTER OF YOUR CHOICE.
The sides of a triangle ABC are AB = 15 cm, BC = 18 cm,
and CA = 24 cm. Determine the distance from the point
of intersection of the angular bisectors to side AB.
A. 5.21 cm
B. 3.78 cm
C. 4.73 cm
D. 6.25 cm
1.
Calculate the area of a spherical triangle whose radius is
5 m and whose angles are 40°, 65°, and 110°.
A. 12.34 sq. m.
B. 14.89 sq. m.
2.
C. 16.45 sq. m.
D. 15.27 sq. m.
Given a triangle ABC whose angles are A 40, B = 95
and side b = 30 cm. Find the length of the bisector of
angle C.
Ă. 21.74 cm
B. 22.35 cm
C. 20.45 cm
D. 20.98 cm
3.
The sides of a triangular lot are 130 m, 180 m, and 190 m.
The lot is to be divided by a line bisecting the longest
side and drawn from the opposite vertex. The length of
this dividing line is:
A. 100 meters
B. 130 meters
C. 125 meters
D. 115 meters
4.
A right spherical triangle has an angle C 90, a 50°,
and c 80. Find the side b.
A. 45.33°
B. 78.66°
C. 74.33
D. 75.89
5.
If the time is 8:00 a.m. GMT, what is the time in the
Philippines, which is located at 120 East longitude?
A. 6 p.m.
B. 4 a.m.
C. 4 p.m.
D. 6 a.m.
6.
A rectangular piece of land 40m x 30 m is to be crossed
diagonally by a 10-m wide roadway as shown. If the
land cost Pi,500.00 per
square meter, the cost of
the roadway is:
A. P401.10
В. Р60,165.00
C. P601,650.00
D. P651,500.00
40 m
10 m
7.
Transcribed Image Text:164 SET 4 Solve the problem given and there will be choices. In this part, you will practice solving different problems involving other elements of triangles and spherical trigonometry. WRITE ONLY THE LETTER OF YOUR CHOICE. The sides of a triangle ABC are AB = 15 cm, BC = 18 cm, and CA = 24 cm. Determine the distance from the point of intersection of the angular bisectors to side AB. A. 5.21 cm B. 3.78 cm C. 4.73 cm D. 6.25 cm 1. Calculate the area of a spherical triangle whose radius is 5 m and whose angles are 40°, 65°, and 110°. A. 12.34 sq. m. B. 14.89 sq. m. 2. C. 16.45 sq. m. D. 15.27 sq. m. Given a triangle ABC whose angles are A 40, B = 95 and side b = 30 cm. Find the length of the bisector of angle C. Ă. 21.74 cm B. 22.35 cm C. 20.45 cm D. 20.98 cm 3. The sides of a triangular lot are 130 m, 180 m, and 190 m. The lot is to be divided by a line bisecting the longest side and drawn from the opposite vertex. The length of this dividing line is: A. 100 meters B. 130 meters C. 125 meters D. 115 meters 4. A right spherical triangle has an angle C 90, a 50°, and c 80. Find the side b. A. 45.33° B. 78.66° C. 74.33 D. 75.89 5. If the time is 8:00 a.m. GMT, what is the time in the Philippines, which is located at 120 East longitude? A. 6 p.m. B. 4 a.m. C. 4 p.m. D. 6 a.m. 6. A rectangular piece of land 40m x 30 m is to be crossed diagonally by a 10-m wide roadway as shown. If the land cost Pi,500.00 per square meter, the cost of the roadway is: A. P401.10 В. Р60,165.00 C. P601,650.00 D. P651,500.00 40 m 10 m 7.
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