All Categories MCQs
Topic Notes: All Categories
General Description
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
411
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.
412
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.
413
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.
414
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.
415
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.
416
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.
417
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.
418
Find sin 60°.
Answer:
0.866
Step-by-step solution: 1. Recall standard trigonometric values. 2. For angle 60°, sin value is 0.866. 3. Convert to radians if needed: 60° = 1.047 rad.
419
Find sin 75°.
Answer:
0.966
Step-by-step solution: 1. Recall standard trigonometric values. 2. For angle 75°, sin value is 0.966. 3. Convert to radians if needed: 75° = 1.309 rad.
420
Find sin 30°.
Answer:
0.5
Step-by-step solution: 1. Recall standard trigonometric values. 2. For angle 30°, sin value is 0.5. 3. Convert to radians if needed: 30° = 0.524 rad.