Height and Distance questions and answers are most important for all competitive exams and entrance tests. In this section, you will find many types of height and distance questions and answers. Practice these questions and answers that will help you crack any competitive exam like SSC, IBPS, PO, RBI, PSC, RAIL, PSU, and many more exams. Now, all competitive exams are online so here you can practice free online exams in our online test section. We are providing many exams height and distance questions with solutions regularly. Check out this page regularly to get updated height and distance questions and answers. Here you will find many other subjects general aptitude questions and answers.
Height and Distance Questions and Answers
Q1. A ladder against a vertical wall makes an angle of 45º with the ground. The foot of the ladder is 3m from the wall. Find the length of the ladder.
A. 7.45 m
B. 7.60 m
C. 11.4 m
D. 4.23 m
Q2. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
A. 9.2 m
B. Â 7.8 m
C. 4.6 m
D. 2.3 m
Q3. A man on top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 mins for the angle of depression to change from 30 degree to 45 degree. how soon after this, will the car reach the tower?
A. 18 min 5 sec
B. 16 min 23 sec
C. 15 min 49 sec
D. 14 min 35 sec
Q4. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is:
A. 62.4 m
B. 44.2 m
C. 88.5 m
D. 24.8 m
Q5. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
A. 200 m
B. 273 m
C. 300 m
D. 173 m
Q6. When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70 m. What is the height of the tower ?
A. 55.4 m
B. 72.6 m
C. 83.6 m
D. 60.6 m
Q7. From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:
A. 156 m
B. 149 m
C. 173 m
D. 200 m
Q8. From a tower of 80 m high, the angle of depression of a bus is 30°. How far is the bus from the tower ?
A. 138.4 m
B. 111.5 m
C. 156.3 m
D. 205.8 m
Q9. A man is watching form the top of the tower a boat speeding away from the tower. The boat makes the angle of depression of 45 degree with the man’s eye when at a distance of 60 metres from the tower. After 5 seconds the angle of depression becomes 30 degree. What is the approximate speed of the boat, assuming that it is running in still water ?
A. 42 kmph
B. 36 kmph
C. 32 kmph
D. 40 kmph
Q10. The angle of elevation of the sun, when the length of the shadow of a tree  times the height of the tree, is:
A. 90
B. 30
C. 45
D. 60
