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- Question
From a point P, the angle of elevation of a tower is such that its tangent is 3/4. On walking 560 metres towards the tower the tangent of the angle of elevation of the tower becomes 4/3. What is the height (in metres) of the tower?
Options- A. 720
- B. 960
- C. 840
- D. 1030
- Correct Answer
- 960
- 1. 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 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?
Options- A. 210
- B. 140?3
- C. 210?3
- D. 150 Discuss
Height and Distance problems
Search Results
Correct Answer: 17 m
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: 45(?3+2)
Correct Answer: 6?3 m
Correct Answer: 273m
Correct Answer: 18 m
Correct Answer: 210
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