Mechanical - 540 UNIT 09 Algebra and Trigonometry - MCQ

151)   

A man is standing 100 m away from a tower. The angle of elevation to the top of the tower is 45°. The height of the tower is:

A.
B.
C.
D.
Answer: B
152)   

 In a right-angled triangle, if the adjacent side = 4 and hypotenuse = 5, what is cos θ?

A.
B.
C.
D.
Answer: A
153)   

 A vertical wall and ground make an angle of 90°. A ladder is placed making an angle of 60° with the ground. If the ladder is 10 m long, the height it reaches on the wall is: 

A.
B.
C.
D.
Answer: B
154)   

 If sin θ = 0.6, then cos θ = ? 

A.
B.
C.
D.
Answer: A
155)   

 A pole of height 20 m casts a shadow of length 20√3 m. The angle of elevation of the sun is: 

A.
B.
C.
D.
Answer: A
156)   

Which of the following is the correct identity?

A.
B.
C.
D.
Answer: D
157)   

 An observer finds the angle of elevation to a tower to be 60°. If the distance from the tower is 50 m, what is the height of the tower? 

A.
B.
C.
D.
Answer: A
158)   

 What is the value of sin θ when θ = 0°?

A.
B.
C.
D.
Answer: B
159)   

 In triangle ABC, right-angled at B, if AB = 6 and BC = 8, then AC = ?

A.
B.
C.
D.
Answer: A
160)   

 The ratio of height to base in a 30° right triangle is:

A.
B.
C.
D.
Answer: B
161)   

 sin 30° = ? 

A.
B.
C.
D.
Answer: B
162)   

 cos 60° = ?

A.
B.
C.
D.
Answer: B
163)   

 tan 45° = ?

A.
B.
C.
D.
Answer: B
164)   

 sin 90° = ?

A.
B.
C.
D.
Answer: B
165)   

cos 0° = ? 

A.
B.
C.
D.
Answer: C
166)   

 tan 0° = ?

A.
B.
C.
D.
Answer: A
167)   

 sin²θ + cos²θ = ?

A.
B.
C.
D.
Answer: B
168)   

 tan θ = sin θ / ? 

A.
B.
C.
D.
Answer: B
169)   

 If sin θ = 3/5, then cos θ = ?

A.
B.
C.
D.
Answer: A
170)   

 tan 60° = ?

A.
B.
C.
D.
Answer: B
171)   

 A crane raises a load forming a 45° angle with the ground. If the cable is 20 m long, height raised = ?

A.
B.
C.
D.
Answer: C
172)   

 A 12 m ramp makes a 30° angle with the floor. Vertical height = ?

A.
B.
C.
D.
Answer: C
173)   

 A 10 m ladder makes 60° with ground. Its base is how far from the wall?

A.
B.
C.
D.
Answer: A
174)   

 If tan θ = 1, then θ = ?

A.
B.
C.
D.
Answer: C
175)   

 A building 50 m tall casts a shadow 50 m long. The sun’s elevation = ?

A.
B.
C.
D.
Answer: B