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
91
An observer is 244 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
244.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 244. 3. Height = 244 * tan 45° = 244.0 m.
92
An observer is 78 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
135.1
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 78. 3. Height = 78 * tan 60° = 135.1 m.
93
An observer is 248 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
143.18
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 248. 3. Height = 248 * tan 30° = 143.18 m.
94
An observer is 170 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
98.15
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 170. 3. Height = 170 * tan 30° = 98.15 m.
95
An observer is 98 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
56.58
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 98. 3. Height = 98 * tan 30° = 56.58 m.
96
An observer is 166 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
166.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 166. 3. Height = 166 * tan 45° = 166.0 m.
97
An observer is 200 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
115.47
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 200. 3. Height = 200 * tan 30° = 115.47 m.
98
An observer is 174 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
301.38
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 174. 3. Height = 174 * tan 60° = 301.38 m.
99
An observer is 70 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
70.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 70. 3. Height = 70 * tan 45° = 70.0 m.
100
An observer is 164 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
94.69
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 164. 3. Height = 164 * tan 30° = 94.69 m.