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Aptitude :: Height and Distance Why Aptitude Height and Distance? In this section you can learn and practice Aptitude Questions based on "Height and Distance" and improve your skills in order to face the interview, competitive examination and various entrance test (CAT, (CAT, GATE, GRE, MAT, MAT, Bank Exam, Railway Exam etc.) with full confidence.
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How to solve Aptitude Height and Distance problems? You can can easily solve all kind of Aptitude questions based on Height H eight and Distance by practicing the objective type exercises given below, also get shortcut methods to solve Aptitude Height and Distance problems. Home » Home » Aptitude Aptitude » » Height and Distance » Distance » General Questions
Exercise :: Height and Distance - General Questions Height and Distance - Important Formulas Height and Distance - General Questions 1. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevati on 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.173 m B.200 m C. 273 m D.300 m Answer: Option C Explanation: Let AB be the lighthouse and C and D be the positions of the ships.
Then, AB = 100 m, AB 1 = tan 30° = AC 3 AB= tan 45° = 1
ACB = 30° and
ADB = 45°.
AC = AB x 3 = 1003 m. AD = AB = 100 m.
AD CD = (AC + AD)= (1003 + 100) m = 100(3 + 1) = (100 x 2.73) m = 273 m. Workspace
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View Answer Discuss in Forum Workspace Report 2. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P? A.43 units B.8 units C. 12 units D.Data inadequate E. None of these Answer: Option D Explanation: One of AB, AD and CD must have given.
So, the data is inadequate. Workspace
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View Answer Discuss in Forum Workspace Report 3. 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.2.3 m B.4.6 m C. 7.8 m D.9.2 m Answer: Option D Explanation: Let AB be the wall and BC be the ladder.
Then,
ACB = 60º and AC = 4.6 m.
AC 1 = cos 60º = BC 2 BC= 2 x AC = (2 x 4.6) m = 9.2 m. Workspace
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View Answer Discuss in Forum Workspace Report 4. An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is: A.21.6 m B.23.2 m C. 24.72 m D.None of these Answer: Option A Explanation: Let AB be the observer and CD be the tower.
Draw BE
CD.
Then, CE = AB = 1.6 m, BE = AC = 203 m. DE 1 = tan 30º = BE 3 DE =
203 m = 20 m. 3
CD = CE + DE = (1.6 + 20) m = 21.6 m. Workspace
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View Answer Discuss in Forum Workspace Report 5. 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.149 m B.156 m C. 173 m D.200 m Answer: Option C
Explanation: Let AB be the tower.
Then,
APB = 30º and AB = 100 m.
AB 1 = tan 30º = AP 3 AP= (AB x 3) m = 1003 m = (100 x 1.73) m = 173 m. Workspace
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