Mechanical - 540 UNIT 09 Algebra and Trigonometry - MCQ

51)   

sin(30°) = ? 

A.
B.
C.
D.
Answer: C
52)   

 cos(60°) = ? 

A.
B.
C.
D.
Answer: C
53)   

sin(45°) = ? 

A.
B.
C.
D.
Answer: B
54)   

cos(45°) = ?

A.
B.
C.
D.
Answer: A
55)   

 tan(30°) = ? 

A.
B.
C.
D.
Answer: C
56)   

cot(60°) = ?

A.
B.
C.
D.
Answer: B
57)   

 sec(60°) = ?

A.
B.
C.
D.
Answer: C
58)   

 cosec(30°) = ?

A.
B.
C.
D.
Answer: A
59)   

 tan²θ + 1 = ? 

A.
B.
C.
D.
Answer: B
60)   

cot²θ + 1 = ?

A.
B.
C.
D.
Answer: C
61)   

  If sinθ = 3/5, then cosθ = ? (Assume θ is acute) 

A.
B.
C.
D.
Answer: A
62)   

 If cosθ = 12/13, then sinθ = ? (θ acute)

A.
B.
C.
D.
Answer: A
63)   

 If tanθ = 3/4, then secθ = ? 

A.
B.
C.
D.
Answer: A
64)   

 If cotθ = 7/24, then cosecθ = ?

A.
B.
C.
D.
Answer: B
65)   

 In a right triangle, if the opposite side is 5 and hypotenuse is 13, what is sinθ? 

A.
B.
C.
D.
Answer: B
66)   

 If a ladder makes an angle of 60° with the floor and its height from the ground is 8 m, the length of the ladder is: 

A.
B.
C.
D.
Answer: C
67)   

 sinθ = √3/2. Then θ = ?

A.
B.
C.
D.
Answer: C
68)   

 cosθ = 1/2. Then θ = ? 

A.
B.
C.
D.
Answer: C
69)   

tanθ = 1. Then θ = ?

A.
B.
C.
D.
Answer: C
70)   

 Which is  not true  ? 

A.
B.
C.
D.
Answer: C
71)   

A ladder 10 m long leans against a wall. If the foot is 6 m away from the wall, what is the height it reaches? 

A.
B.
C.
D.
Answer: B
72)   

A man observes the top of a tower at an angle of elevation 45°, standing 50 m from the base. Find the height of the tower. 

A.
B.
C.
D.
Answer: A
73)   

 A vertical pole 10 m tall casts a shadow 10 m long. The angle of elevation of the sun is: 

A.
B.
C.
D.
Answer: B
74)   

 A building is 20 m tall. The angle of depression from the top of the building to a point on the ground is 30°. Find the distance from the building to the point. 

A.
B.
C.
D.
Answer: A
75)   

 A boy flying a kite lets out 100 m of string which makes an angle of 60° with the ground. Height of the kite is:

A.
B.
C.
D.
Answer: C