1. Chapter 2 Review
Trigonometry

2. 1. Determine the measure of D to the nearest tenth of a degree.
Adj
tan D =
Opp
Hyp
D = tan-1 =
= 18.4°

3. 2. Determine the length of side l to the nearest tenth of a metre.
Opp
tan66 =
Adj
Hyp
= 5.4 m

4. 3. Determine the measure of Y to the nearest tenth of a degree.
Opp
cos Y =
Adj
Hyp
Y = cos-1 =
= 62.4°

5. 4. A rope that anchors a hot air balloon to the ground is 136 m long
4. A rope that anchors a hot air balloon to the ground is 136 m long. The balloon is 72 m above the ground. What is the angle of inclination of the rope to the nearest tenth of a degree?
72m
136m
sin (x) =
x = sin-1
Hyp =
Opp
= 32.0° x
Adj

6. cos(63) = 18.8 x cos(63) = MN 8.53502 = MN = 8.5 cm
5. Determine the length of MN to the nearest tenth of a centimetre.
Opp
cos(63) =
Adj
Hyp
18.8 x cos(63) = MN
= MN
= 8.5 cm

7. sin 39 = = 14.142 cos 54 = (14.142)(cos 54) = x x = 8.312459 = 8.3 cm
6. Determine the length of RS to the nearest tenth of a centimetre.
Opp
Adj x
sin 39 =
Hyp y
14.142
Hyp
Adj
Opp =
cos 54 =
(14.142)(cos 54) = x
x =
= 8.3 cm

8. a2 + b2 = c2 62 + b2 = 92 36 + b2 = 81 -36 -36 b2 = 45 b = tan x =
7. Calculate the measure of GHJ to the nearest tenth of a degree.
a2 + b2 = c2 x
Hyp
62 + b2 = 92
Adj
36 + b2 = 81
Opp
b2 = 45
b =
tan x =
x = tan-1
x = °
= 60.7°

9. tan 62 = = 37.21966 tan 49 = (37.21966)(tan 49) = O = 42.8163 = 43 ft
8. From the top of an 70-ft. building, the angle of elevation of the top of a taller building is 49° and the angle of depression of the base of this building is 62°. Determine the height of the taller building to the nearest foot.
tan 62 = =
tan 49 =
Hyp
Opp
Adj
Adj
( )(tan 49) = O =
Opp
Hyp 70
= 43 ft
Total Height =
= 113 ft