Practice important
Complementary Angles
MCQ questions and answers.
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MCQ Questions
1. Two projectiles are launched with the same speed at angles of 30° and 60° to the horizontal. What is true about their horizontal ranges on level ground?
A.
The range at 30° is greater
B.
The range at 60° is greater
C.
Their horizontal ranges are equal
D.
Their ranges are zero
Correct Answer:
Their horizontal ranges are equal
Explanation:
For the same launch speed on level ground, complementary angles produce the same range because 30° + 60° = 90°.
2. Which pair of angles is complementary for projectile motion?
A.
20° and 60°
B.
25° and 65°
C.
35° and 65°
D.
45° and 55°
Correct Answer:
25° and 65°
Explanation:
Complementary angles have a sum of 90°. Since 25° + 65° = 90°, this is the correct pair.
3. For a projectile launched with a fixed speed, which pair of launch angles gives the same range on level ground?
A.
20° and 70°
B.
20° and 80°
C.
30° and 80°
D.
40° and 70°
Correct Answer:
20° and 70°
Explanation:
Angles that add up to 90° are complementary. A projectile launched at complementary angles has the same range when the launch and landing levels are the same.
4. A projectile is thrown at 35° with a certain speed. At which angle should it be thrown with the same speed to obtain the same range on level ground?
A.
45°
B.
55°
C.
65°
D.
75°
Correct Answer:
55°
Explanation:
The complementary angle of 35° is 55° because 35° + 55° = 90°. Thus, both angles give the same range for the same speed.
5. A projectile launched at 40° and another launched at 50° have the same initial speed. How are their ranges related on level ground?
A.
The 40° projectile has twice the range
B.
The 50° projectile has twice the range
C.
Both projectiles have the same range
D.
Their ranges cannot be compared
Correct Answer:
Both projectiles have the same range
Explanation:
The angles 40° and 50° are complementary because their sum is 90°. For equal speeds, complementary launch angles give equal ranges.
6. If one angle of a complementary pair is 25°, what is the other angle?
A.
55°
B.
65°
C.
75°
D.
85°
Correct Answer:
65°
Explanation:
The two angles in a complementary pair add to 90°. Therefore, the other angle is 90° − 25° = 65°.
7. For the same initial speed, a projectile is launched at 15°. Which angle will give the same range on level ground?
A.
60°
B.
65°
C.
70°
D.
75°
Correct Answer:
75°
Explanation:
The complementary angle of 15° is 75° because 15° + 75° = 90°. Therefore, both launch angles produce the same range.
8. Two projectiles are launched with equal speeds at 25° and 65°. Which statement is correct?
A.
The 25° projectile has a greater range
B.
The 65° projectile has a greater range
C.
Both have equal ranges
D.
Both remain at the same maximum height
Correct Answer:
Both have equal ranges
Explanation:
Since 25° and 65° are complementary, projectiles launched at these angles with the same speed have equal horizontal ranges on level ground.
9. A projectile has the same range when launched at 30° and at another angle with the same speed. What is the second angle on level ground?
A.
45°
B.
50°
C.
60°
D.
75°
Correct Answer:
60°
Explanation:
For equal range, the two launch angles are complementary. The angle complementary to 30° is 60° because 30° + 60° = 90°.
10. Two projectiles are thrown with the same speed at angles of 30° and 60° to the horizontal from the same point. How do their horizontal ranges compare when they land at the same level?
A.
The range at 30° is greater
B.
The range at 60° is greater
C.
Their ranges are equal
D.
Their ranges are zero
Correct Answer:
Their ranges are equal
Explanation:
Angles of 30° and 60° are complementary because their sum is 90°. For the same speed and equal launch and landing levels, complementary projection angles produce equal horizontal ranges.