Technical Mathematics, Sixth Edition

8.7. CHAPTER 8 REVIEW PROBLEMS

Solve oblique triangle ABC if

1. C = 135° a = 44.9 b = 39.1 A = 24.1°; B = 20.9°; c = 77.6

2. A = 92.4° a = 129 c = 83.6 B = 47.2°; C = 40.4°; b = 94.8

3. B = 38.4° a = 1.84 c = 2.06 A = 61.6°; C = 80.0°; b = 1.30

4. B = 22.6° a = 2840 b = 1170

5. A = 132° b = 38.2 c = 51.8 B = 20.2°; C = 27.8°; a = 82.4

   4. A = 111°; C = 46.4°; c = 2200 or A = 68.9°; C = 88.5°; c = 3040

In what quadrant(s) will the terminal side of θ lie if

1. θ = 227° III

2. θ = −45° IV

3. θ = 126° II

4. θ = 170° II

5. tan θ is negative II or IV

Without using book or calculator, state the algebraic sign of

1. tan 275° neg

2. sec(−58°) pos

3. cos 183° neg

4. cos 45° pos

5. sin 300° neg

Write the sin, cos, and tan, to three significant digits, for the angle whose terminal side passes through the given point.

1. (−2, 5)

2. (−3, −4)

3. (4, −1)

   	sin	cos	tan
   16.	0.928	−0.371	−2.50
   17.	−0.800	−0.600	1.33
   18.	−0.196	0.980	−0.200

   Two vectors of magnitudes A and B are separated by an angle u. Find the resultant and the angle that the resultant makes with vector B.

4. A = 837 B = 527 θ = 58.2° 1200 at 36.3°

5. A = 2.58 B = 4.82 θ = 82.7° 5.75 at 26.4°

6. A = 44.9 B = 29.4 θ = 155° 22.1 at 121°

7. A = 8374 B = 6926 θ = 115.4° 8267 at 66.21°

8. From a ship sailing due north at the rate of 18.0 km/h, the bearing of a lighthouse is N 18°15′ E. Ten minutes later the bearing is N 75°46′ E. How far is the ship from the lighthouse at the time of the second observation? 1.11 km

Write the sin, cos, and tan, to four decimal places, of

1. 273°

2. 175°

3. 334°36′

4. 127°22′

5. 114°

	sin	cos	tan
24.	−0.9986	0.0523	−19.0811
25.	0.0872 ...