Discussion
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- Question
- When the length of the shadow of a pole is equal to the height of the pole, then the elevation of source of light is :
Options- A. 30°
- B. 45°
- C. 60°
- D. 75°
- Correct Answer
- 45°
Explanation
- 1. A 20 m high electric pole stands upright on the ground with the help of steel wire to its top and affixed on the ground. If the steel wire makes 60° with the horizontal ground, then find out the length of the steel wire.
Options- A. 40/ ?3 m
- B. 40 ?3 m
- C. 20/ ?3m
- D. 20 ?3m Discuss
- 2. The shadow of a tower standing on a level plane is found to be 50 m longer when the sun's altitude is 30° than when it is 60°. Find the height of the tower.
Options- A. 20 ?3 m
- B. 25/ ?3 m
- C. 25 ?3 m
- D. 20 ?3 m Discuss
- 3. A pole being broken by the wind, the top struck the ground at an angle of 30° and at a distance of 21 m from the foot of the pole. Find out the total height of the pole.
Options- A. 21 m
- B. 21 ?3 m
- C. 21/ ?3
- D. None of these Discuss
- 4. The angle of elevation of moon when the length of the shadow of a pole is equal to its height, is:
Options- A. 30°
- B. 45°
- C. 60°
- D. None of these Discuss
- 5. A man 2 m high, walks at a uniform speed of 6 m/min away from a lamp post, 5 m high. Find the rate at which the length of his shadow increases .
Options- A. 4 m/min
- B. 8 m/min
- C. 9m/min
- D. 14 m/min Discuss
- 6. At a point, 15 m away from the base of a 15 m high house, the angle of elevation of the top is :
Options- A. 45°
- B. 30°
- C. 60°
- D. 90° Discuss
- 7. A tower subtends an angle of 30° at a point on the same level as the foot of the tower. At a second point, h m above the first, the depression of the foot of the tower is 60°. The horizontal distance of the tower from the point is :
Options- A. h cot 60°
- B. h cot 30°
- C. h cot 60° 2
- D. h cot 30° 2 Discuss
- 8. The angle of elevation of the sun when the length of the shadow of a pole is ?3 times the height of the pole will be :
Options- A. 30°
- B. 60°
- C. 90°
- D. 45° Discuss
- 9. The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is :
Options- A. 12 m
- B. 10 m
- C. 8 m
- D. None of these Discuss
- 10. The top of a 15 m high tower makes an angle of elevation of 60° with the bottom of an electric pole and an angle of elevation of 30° with the top of the pole. What is the height of the electric pole?
Options- A. 5 m
- B. 8 m
- C. 10 m
- D. 12 m Discuss
Height and Distance problems
Search Results
Correct Answer: 40/ ?3 m
Explanation:
Correct Answer: 25 ?3 m
Explanation:
Correct Answer: 21 ?3 m
Explanation:
Correct Answer: 45°
Explanation:
Correct Answer: 4 m/min
Explanation:
Let us draw a figure as per given question.
Let AB = 5 meter and CD = 2 meter be the heights of a lamp post and the men respectively.
At any time t BD = x meter and shadow of man ED = y meter.
Then, dx/dt = 6 m/min
Now, right triangles ABE and CDE are similar, then
AB/CD = BE/DE
? 5/2 = (x + y)/y
? 5y = 2x + 2y
? 5y - 2y = 2x
? 3y = 2x
? 3 dy/dt = 2 dx/dt
? 3 dy/dt = 2 x 6
? dy/dt = 2 x 6 / 3
? dy/dt = 2 x 2 = 4
Hence, length of his shadow increase at the rate of 4 m/min.
Correct Answer: 45°
Explanation:
Correct Answer: h cot 60°
Explanation:
Correct Answer: 30°
Explanation:
Correct Answer: 12 m
Explanation:
Correct Answer: 10 m
Explanation:
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