Revision Test 8 : Angles, triangles and trigonometry
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 angle θ in Figure RT8.1.
(3)
538
478
1248
298
␪
Figure RT8.1
6. Determine angle θ in the triangle in Figure RT8.2.
(2)
␪
␪
508
Figure RT8.2
7. Determine angle θ in the triangle in Figure RT8.3.
(2)
438
688
␪
Figure RT8.3
8. In Figure RT8.4, if triangle ABC is equilateral,
determine ∠C D E.
( 3 )
A
B
C
D
E
928
Figure RT8.4
9. Find angle J in Figure RT8.5.
(2)
H
G
J
288
Figure RT8.5
10. Determine angle θ in Figure RT8.6.
(3)
␪
328
588
Figure RT8.6
11. State the angle (a) supplementary to 49 ◦ (b) complementary to 49 ◦ .
( 2 )