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- Question
A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :
Options- A. 17 m
- B. 16 m
- C. 14 m
- D. 15 m
- Correct Answer
- 17 m
- 1. The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is
Options- A. 17 m
- B. 27 m
- C. 25 m
- D. 30 m Discuss
- 2. There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?
Options- A. 7.5 km
- B. 10.5 km
- C. 12.5 km
- D. 15 km Discuss
- 3. Two men standing on same side of a pillar 75 metre high, observe the angles of elevation of the top of the pillar to be 30° and 60° respectively the distance between two men is
Options- A. 100 3m
- B. 100m
- C. 753m
- D. 253m Discuss
- 4. The height and the slant height of a right circular cone are 24 cm and 25 cm, respectively. Considering ? as 22/7 , find the curved surface area of the said cone.
Options- A. 550 cm2
- B. 572 cm2
- C. 528 cm2
- D. 539 cm2 Discuss
- 5. A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder?
Options- A. 6.2 m
- B. 6.5 m
- C. 6.8 m
- D. 7.5 m Discuss
- 6. From a point P on a level ground , the angle of elevation to the top of the tower is 30° . If the tower is 100m high , the distance of point P from the foot of the tower is ( Take ?3 = 1.73)
Options- A. 149 m
- B. 156 m
- C. 173 m
- D. 188 m Discuss
- 7. A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite sideof Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?
Options- A. 90
- B. 45?3
- C. 45(?3+1)
- D. 45(?3+2) Discuss
- 8. On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is
Options- A. 5?3 m
- B. 6?3 m
- C. 6?2m
- D. 6?5 m Discuss
- 9. Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take ?3=1.73)
Options- A. 173m
- B. 200m
- C. 273m
- D. 300m Discuss
- 10. A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retires 36 m from the bank, he finds that the angle is 30°. The breadth of the river is
Options- A. 15 m
- B. 18 m
- C. 16 m
- D. 11 m Discuss
Height and Distance problems
Search Results
Correct Answer: 25 m
Correct Answer: 12.5 km
Explanation:
Initially the person is travelling from south to north i.e. D to A
He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC
AB = 20km/hr * 15/60 hr = 5km
BC = 30 * 20/60 = 10 km
We know that distance between both the streets is DC = DB + BC
DB = AB cos 60o= 5. ½ =2.5 km
So the distance between streets = 12.5 km
Correct Answer: 100 3m
Correct Answer: 550 cm2
Correct Answer: 6.5 m
Correct Answer: 173 m
Correct Answer: 45(?3+2)
Correct Answer: 6?3 m
Correct Answer: 273m
Correct Answer: 18 m
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