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
31
An observer is 186 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
322.16
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 186. 3. Height = 186 * tan 60° = 322.16 m.
32
An observer is 122 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
70.44
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 122. 3. Height = 122 * tan 30° = 70.44 m.
33
An observer is 214 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
214.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 214. 3. Height = 214 * tan 45° = 214.0 m.
34
An observer is 58 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
58.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 58. 3. Height = 58 * tan 45° = 58.0 m.
35
An observer is 162 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
280.59
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 162. 3. Height = 162 * tan 60° = 280.59 m.
36
An observer is 120 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
207.85
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 120. 3. Height = 120 * tan 60° = 207.85 m.
37
An observer is 54 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
93.53
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 54. 3. Height = 54 * tan 60° = 93.53 m.
38
An observer is 226 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
226.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 226. 3. Height = 226 * tan 45° = 226.0 m.
39
An observer is 172 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
172.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 172. 3. Height = 172 * tan 45° = 172.0 m.
40
An observer is 84 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
145.49
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 84. 3. Height = 84 * tan 60° = 145.49 m.