ABSA 3A1 – Chapter 2 Trigonometry and Geometry Questions with Accurate Answers

ABSA 3A1 - Chapter 2 questions with accurate
answers
1 radian equals how many degrees? Ans✓✓✓ 57.3


A circle has a diameter of 14 mm. How many radians (approximately)
has this complete circle?
Select one:
a. 43.96 radians
b. 21.99 radians
c. 6.28 radians
d. 5.73 radians
e. 0.028 radians Ans✓✓✓ one circle = 360 degrees
one radian = 57.3 degrees
360/57.3 = 6.28


c. 6.28 radians


A coal conveyor belt, 60 m long, rises at an angle of 18 degrees to the
horizontal and then discharges into a bunker. How high above the
starting point is the discharge?
Select one:
a. 12.34 m
b. 15.84 m
c. 18.54 m

,d. 19.49 m
e. 57.06 m Ans✓✓✓ c = 60 (hypotenuse)
A = 18 degrees
Sin 18 = Height/60
Sin 18 (60) = Height
Height = 18.54


c. 18.54 m


A ladder 5 m long leans against a wall, and is inclined at 65 degrees to
the ground. How high up the wall does the ladder reach?
Select one:
a. 2.11 m
b. 4.53 m
c. 4.71 m
d. 5.52 m
e. 10.72 m Ans✓✓✓ Hypotenuse = 5
A = 65 degrees
Sin 65 = Height/5
Sin 65 (5) = Height
Height = 4.53


b. 4.53 m

, A ladder 7.5 m long leans against a wall, and is inclined at 70 degrees to
the ground. How far from the wall is the foot of the ladder?
Select one:
a. 7.14 m
b. 7.04 m
c. 3.57 m
d. 2.57 m
e. 1.97 m Ans✓✓✓ c = 7.5 (hypotenuse)
A = 70 degrees
Cos 70 = adjacent/7.5
Cos 70 (7.5) = adjacent
adjacent = 2.57


d. 2.57 m


A packaged boiler is to be unloaded from a flat car. The bed of the flat
car is 2 m above the ground. What length of skids is necessary if the
skids are to make an angle of 25 degrees with the ground?
Select one:
a. 2.21 m
b. 3.12 m
c. 4.29 m
d. 4.73 m