Maths Questions and Answers for Bank Exams

Mathematical Question-Answers for Competitive Exams

Hight and Distance :

Q.11. A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 450 with the man’s eye when at a distance of 60 metres from the tower. After 5 seconds, the angle of depression becomes 300. What is the approximate speed of the boat, assuming that it is running in still water?

(a) 32 kmph

(b) 36 kmph

(c) 38 kmph

(d) 40 kmph

Q.12. The top of a 15-meter-high tower makes an angle of elevation of 600 with the bottom of an electric pole and angle of elevation of 30 with the top of the pole. What is the height of the electric pole?

(a) 5 meters

(b) 8 meters

(c) 10 meters

(d) 12 meters

(e) None of these

Q.13. An observer 1.6 m tall is 20√3 m away from a tower. The angle of elevation from his eye to the top of the tower is 300. The height of the tower is 

(a) 21.6 m

(b) 23.2 m

(c) 24.72 m

(d) None of these

Q.14. The angle of elevation of the top of a tower from a certain point is 300. If the observer moves 20 m toward the tower, the angle of elevation of the top of the tower increases by 150. The high of the tower is:

(a) 17.3 m

(b) 21.9 m

(c) 27.3 m

(d) 30 m

Q.15. The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is: 

(a) 300

(b) 450

(c) 600

(d) 900

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