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- Question
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
- Correct Answer
- 12.5 km
ExplanationInitially the person is travelling from south to north i.e. D to AHe takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BCAB = 20km/hr * 15/60 hr = 5kmBC = 30 * 20/60 = 10 kmWe know that distance between both the streets is DC = DB + BCDB = AB cos 60o= 5. ½ =2.5 kmSo the distance between streets = 12.5 km - 1. 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
- 2. 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
- 3. 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
- 4. A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? ?
Options- A. 14 cm
- B. 13.5 cm
- C. 12.5 cm
- D. 11.4 cm Discuss
- 5. The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?
Options- A. 42.2 mts
- B. 33.45 mts
- C. 66.6 mts
- D. 58.78 mts Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Height and Distance problems
Search Results
Correct Answer: 100 3m
Correct Answer: 550 cm2
Correct Answer: 6.5 m
Correct Answer: 12.5 cm
Explanation:
Let the required height of the building be x meter
More shadow length, More height(direct proportion)
Hence we can write as
(shadow length) 40.25 : 28.75 :: 17.5 : x
? 40.25 × x = 28.75 × 17.5
? x = 28.75 × 17.5/40.25
= 2875 × 175/40250
= 2875 × 7/1610
= 2875/230
= 575/46
= 12.5 cm
Correct Answer: 66.6 mts
Correct Answer: 25 m
Correct Answer: 17 m
Correct Answer: 173 m
Correct Answer: 45(?3+2)
Correct Answer: 6?3 m
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