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Quantitative Aptitude

HEIGHT AND DISTANCE MCQs

Total Questions : 206 | Page 4 of 21 pages
Question 31. 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:
  1.    149 m
  2.    156 m
  3.    173 m
  4.    200 m
 Discuss Question
Answer: Option C. -> 173 m
Question 32. The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:
  1.    30º
  2.    45º
  3.    60º
  4.    90º
 Discuss Question
Answer: Option A. -> 30º
Question 33. On the same side of tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 150 m, the distance between the objects is-
  1.    63.5 m
  2.    76.9 m
  3.    86.7 m
  4.    90 m
 Discuss Question
Answer: Option A. -> 63.5 m
Question 34. The angle of elevation of the top of a tower from a certain point is 30°. If the observed moves 20 m towards the tower, the angle of elevation the angle of elevation of top of the tower increases by 15°. The height of the tower is
  1.    17.3 m
  2.    21.9 m
  3.    27.3 m
  4.    30 m
 Discuss Question
Answer: Option C. -> 27.3 m
Question 35. The angle of depression of a point situated at a distance of 70m from the base of a tower is 60°. The height of the tower is-
  1.    \[35\sqrt 3 {\text{ m}}\]
  2.    \[70\sqrt 3 {\text{ m}}\]
  3.    \[\frac{{70\sqrt 3 }}{3}{\text{ m}}\]
  4.    \[{\text{70 m}}\]
 Discuss Question
Answer: Option B. -> \[70\sqrt 3 {\text{ m}}\]
Question 36. A man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from 30° to 45°, how soon after this will the car reach the observation tower ?
  1.    14 min. 35 sec.
  2.    15 min. 49 sec.
  3.    16 min. 23 sec.
  4.    18 min. 5 sec.
 Discuss Question
Answer: Option C. -> 16 min. 23 sec.
Question 37. If a 30 m ladder is placed against a 15 m wall such that it just reaches the top of the wall, then the elevation of the wall is equal to-
  1.    45°
  2.    30°
  3.    60°
  4.    50°
 Discuss Question
Answer: Option B. -> 30°
Question 38. The angles of elevation of the top of from two points P and Q at distance $${{m^2}}$$ and $${{n^2}}$$ respectively, from the base and in the same straight line with it are complementary. The height of the tower is-
  1.    $${\left( {mn} \right)^{\frac{1}{2}}}$$
  2.    $$m{n^{\frac{1}{2}}}$$
  3.    $${m^{\frac{1}{2}}}n$$
  4.    $$mn$$
 Discuss Question
Answer: Option D. -> $$mn$$
Question 39. A boy is standing at the top of the tower and another boy is at the ground at some distance from the foot of the tower, then the angle of elevation and depression between the boys when both look at a each other will be-
  1.    Equal
  2.    Angle of elevation will be greater
  3.    Cannot be predicted for relation
  4.    Angle of depression will be greater
 Discuss Question
Answer: Option A. -> Equal
Question 40. The angle of elevation of a cloud from a point 200 m above a lake is 30° and the angle of depression of its reflection in the lake is 60°. The height of the cloud is-
  1.    200 m
  2.    300 m
  3.    400 m
  4.    600 m
 Discuss Question
Answer: Option A. -> 200 m

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