Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
21
An observer is 62 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
35.8
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 62. 3. Height = 62 * tan 30° = 35.8 m.
22
An observer is 118 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
118.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 118. 3. Height = 118 * tan 45° = 118.0 m.
23
An observer is 146 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
84.29
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 146. 3. Height = 146 * tan 30° = 84.29 m.
24
An observer is 160 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
160.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 160. 3. Height = 160 * tan 45° = 160.0 m.
25
An observer is 180 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
311.77
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 180. 3. Height = 180 * tan 60° = 311.77 m.
26
An observer is 90 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
155.88
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 90. 3. Height = 90 * tan 60° = 155.88 m.
27
An observer is 50 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
28.87
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 50. 3. Height = 50 * tan 30° = 28.87 m.
28
An observer is 140 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
80.83
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 140. 3. Height = 140 * tan 30° = 80.83 m.
29
An observer is 154 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
154.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 154. 3. Height = 154 * tan 45° = 154.0 m.
30
An observer is 228 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
394.91
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 228. 3. Height = 228 * tan 60° = 394.91 m.