Mechanical - 540 UNIT 09 Algebra and Trigonometry - MCQ

76)   

The height of a tower is 40 m. A man at a point on ground observes its top at angle 30°. Distance from man to tower = ? 

A.
B.
C.
D.
Answer: A
77)   

The angle between a ramp and the horizontal is 15°. If the ramp is 10 m long, the vertical height is: 

A.
B.
C.
D.
Answer: A
78)   

A tree 12 m high casts a shadow of 16 m. Find the angle of elevation of the sun. 

A.
B.
C.
D.
Answer: B
79)   

 If angle of elevation of a tower is 60° from a distance of 20 m, height of the tower is: 

A.
B.
C.
D.
Answer: A
80)   

A wire is attached to the top of a vertical pole of height 15 m and makes angle 30° with the ground. Length of the wire is: 

A.
B.
C.
D.
Answer: B
81)   

A tower is 100 m high. From a point on the ground, the angle of elevation is 60°. Find the distance from the point to the tower. 

A.
B.
C.
D.
Answer: C
82)   

A man is 1.8 m tall. He observes the top of a building at 30° angle of elevation. His distance from the building is 20 m. Height of the building is: 

A.
B.
C.
D.
Answer: B
83)   

A tower and its shadow form a right-angled triangle. If the shadow is 5 m long and the angle of elevation is 45°, the height of the tower is: 

A.
B.
C.
D.
Answer: A
84)   

 The top of a chimney is observed from 30 m away at an angle of 45°. Height of the chimney is:

A.
B.
C.
D.
Answer: A
85)   

 A flagpole is 12 m high and casts a shadow 12 m long. The sun’s elevation angle is:

A.
B.
C.
D.
Answer: B
86)   

The angle of depression from a point 20 m above the ground to the base of a pole is 30°. Distance between point and pole base is: 

A.
B.
C.
D.
Answer: C
87)   

A ramp rises 4 m over a horizontal distance of 16 m. Its angle with the ground is: 

A.
B.
C.
D.
Answer: B
88)   

A wire supports a pole of height 20 m, making angle 60° with ground. Length of wire is: 

A.
B.
C.
D.
Answer: B
89)   

 A road is inclined at 10° with the horizontal. Vertical height gained over 200 m distance is: 

A.
B.
C.
D.
Answer: B
90)   

 A workshop roof is inclined at 45°. If horizontal length is 6 m, the vertical height is:

A.
B.
C.
D.
Answer: D
91)   

Which of the following is a true identity? 

A.
B.
C.
D.
Answer: A
92)   

A man observes a drone flying overhead at 60° elevation. If the drone is 100 m above ground, how far is the man from its vertical projection?

A.
B.
C.
D.
Answer: B
93)   

Which of the following expressions is equivalent to x² − y²? 

A.
B.
C.
D.
Answer: C
94)   

What is (a + b)² − (a − b)²?

A.
B.
C.
D.
Answer: A
95)   

 If log(ab) = log(a) + log(b), this is called:

A.
B.
C.
D.
Answer: B
96)   

Which is true for indices?

A.
B.
C.
D.
Answer: B
97)   

The angle between the hour and minute hand at 3:00 PM is:

A.
B.
C.
D.
Answer: A
98)   

Convert 3 radians to degrees: 

A.
B.
C.
D.
Answer: C
99)   

 In workshop design, slope is expressed as: 

A.
B.
C.
D.
Answer: A
100)   

 A line inclined at 60° to the base creates which triangle type with the floor and vertical height? 

A.
B.
C.
D.
Answer: B