CHAPTER 7 Solutions of Triangles
20
=
2
2
2
•
¡
=
SHIFT
cos
-
cos
=
•
ABC is a triangle in which AB = 4cm, AC = 5.4cm and BC = 8cm. Find
ACB∠ .
OPERATION
1. Use the formula
B
ABBCAC
ACB
××
−+
=∠
2
cos
222
to determine ACB∠cos . Ensure
calculator is in
COMP/Deg mode.
ACB∠cos
= 0.893055555.
2. To determine ACB∠ , press
Hence,
ACB∠ is approximately 26.74°.
Answers to Quick Check 1
1 (a) -381.078125
(b) 5/42
(c) 210,034.1658
2 (a) 0.034899496 (b) 1 (c) 2
3 (a) 7,079.457844 (b) 2.724069927 (c) 21.10019602,@
0.368267893
4 755.0922277 5 1,096.633158 6 -12.05796327
7 (a) 1.966637001 (b) 4.289146637 (c) 11.35402128 8 (a) 178°11’23.5’’ (b) 133°41’24.5’’
(c) -166°9’27.94’’
9
°1.0cos
10 5.595526906
Answers to Quick Check 2
1 (a) 43,758
(b) 55,440
(c) 362,880
2 5, 10, 13
3 (a) 1,951 (b) 65.03333333 (c) 19.78633086 4 0.201653658 5 95,040 6 11,400
7 (a) 35.73496445° (b) 0.9125573
Exam
le 3
5.4
2
+8
2
-4
2
77.16
Ans¡(2 X5.4 X8
0.893055555
cos
-
Ans
26.74024593
8cm
4cm
5.4cm