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
51
An observer is 134 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
77.36
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 134. 3. Height = 134 * tan 30° = 77.36 m.
52
An observer is 52 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
52.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 52. 3. Height = 52 * tan 45° = 52.0 m.
53
An observer is 112 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
112.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 112. 3. Height = 112 * tan 45° = 112.0 m.
54
An observer is 142 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
142.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 142. 3. Height = 142 * tan 45° = 142.0 m.
55
An observer is 156 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
270.2
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 156. 3. Height = 156 * tan 60° = 270.2 m.
56
An observer is 242 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
139.72
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 242. 3. Height = 242 * tan 30° = 139.72 m.
57
An observer is 182 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
105.08
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 182. 3. Height = 182 * tan 30° = 105.08 m.
58
An observer is 130 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
130.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 130. 3. Height = 130 * tan 45° = 130.0 m.
59
An observer is 240 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
415.69
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 240. 3. Height = 240 * tan 60° = 415.69 m.
60
An observer is 206 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
118.93
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 206. 3. Height = 206 * tan 30° = 118.93 m.