Basic Engineering Mathematics, Fifth Edition

Revision Test 8 : Angles, triangles andtrigonometry

This assignment covers the material contained in Chapters 20 and 21.The marks available are shown in brackets at
the end of each question.

1. Determine 38◦ 48 ′+ 17 ◦ 23 ′.(2)


2. Determine 47◦ 43 ′ 12 ′′− 58 ◦ 35 ′ 53 ′′+ 26 ◦ 17 ′ 29 ′′.
   (3)


3. Change 42. 683 ◦to degrees and minutes. (2)


4. Convert 77◦ 42 ′ 34 ′′to degrees correct to 3 decimal
   places. (3)


5. Determine angleθin Figure RT8.1. (3)

538

478

(^1248298)

Figure RT8.1

6. Determine angleθin the triangle in Figure RT8.2.
   (2)





508

Figure RT8.2

7. Determine angleθin the triangle in Figure RT8.3.
   (2)

438

688



Figure RT8.3

8. In Figure RT8.4, if triangleABCis equilateral,
   determine∠CDE.(3)

A B

C

D

E

928

Figure RT8.4

9. Find angleJin Figure RT8.5. (2)

H

G

J

288

Figure RT8.5

10. Determine angleθin Figure RT8.6. (3)



328

588

Figure RT8.6

11. State the angle (a) supplementary to 49◦(b) com-
    plementary to 49◦.(2)