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
1
An observer is 56 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
32.33
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 56. 3. Height = 56 * tan 30° = 32.33 m.
2
An observer is 176 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
101.61
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 176. 3. Height = 176 * tan 30° = 101.61 m.
3
An observer is 100 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
100.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 100. 3. Height = 100 * tan 45° = 100.0 m.
4
An observer is 76 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
76.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 76. 3. Height = 76 * tan 45° = 76.0 m.
5
An observer is 246 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
426.08
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 246. 3. Height = 246 * tan 60° = 426.08 m.
6
An observer is 202 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
202.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 202. 3. Height = 202 * tan 45° = 202.0 m.
7
An observer is 212 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
122.4
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 212. 3. Height = 212 * tan 30° = 122.4 m.
8
An observer is 150 m from a tower. The angle of elevation to the top is 60°. Find the height of the tower.
Answer:
259.81
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 60° = height / 150. 3. Height = 150 * tan 60° = 259.81 m.
9
An observer is 184 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
184.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 184. 3. Height = 184 * tan 45° = 184.0 m.
10
An observer is 128 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
73.9
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 128. 3. Height = 128 * tan 30° = 73.9 m.