Height and Distance Questions and Answers for Competitive Exams

Height and Distance Questions and Answers for SSC and Bank Exams:

Q.21. The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are respectively 15⁰ and 30⁰. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is;

(A) 25√3 meter

(B) 24 meter

(C) 24√2 meter

(D) 96 meter

Q.22. Two post are x meters apart and the height of one is double that of the other. If from the mid-point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is 

$$(A)\ {x\over2\sqrt { 2} \ }$$

  $$(B){x\over4}$$

$$(C) x \sqrt {2 } \ $$

$$(D){x\over2}$$

Q.23. An aeroplane when flying at a height of 5000m form the ground passes vertically above another aeroplane at an instant, when the angles of elevation of the two aeroplanes from the same point on the ground are 60⁰ and 45⁰ respectively. The vertical distance between the aeroplanes at that instant is 

(A) 5000(√3-1) m

(B) 5000 (3-√3) m

$$(C)\ 5000\left(1-{1\over \sqrt { 3} \ } \right) $$

(D) 4500 m

Q.24. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30⁰. The man walks some distance to wards the tower and then this angle of elevation of the top of the tower is 60⁰. If the height of tower is 30m, then the distance he moves is 

(A) 22 m

(B) 22√3 m

(C) 20 m

(D) 20√3m

Q.25. An aeroplane when flying at a height of 3125m from the ground passes vertically below another plane at an instant when the angle of elevation of the two planes from the same point on the ground an 30⁰ and 60⁰ respectively. The distance between the two planes at that instant is 

(A) 6520 m

(B) 6000 m

(C) 5000 m

(D) 6250 m

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