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SSC CGL Heights and Distances — practice questions

Explore 43 free Heights and Distances questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Heights and Distances questions and exercises with answers

Showing questions 1–30 of 43.

What is the angle between the line of sight and the horizontal for an object above eye level?Read the answer and worked solution →Looking down from a balcony at a pot, the line of sight makes which angle with the horizontal?Read the answer and worked solution →Which line is drawn from the eye of an observer to the point of the object being viewed?Read the answer and worked solution →The top of a tower is seen at 45° from 20 m away on level ground. Find its height.Read the answer and worked solution →A tower stands on level ground. From a point 30 m from its foot, the elevation of its top is 30°. Find its height.Read the answer and worked solution →A point on the ground is 15 m from the foot of a tower, and the elevation of the tower top is 60°. What is the tower height?Read the answer and worked solution →At what altitude of the Sun is the shadow of a vertical pole exactly as long as the pole itself?Read the answer and worked solution →A pole 10 m high casts a shadow 10√3 m long on level ground. What is the Sun's elevation?Read the answer and worked solution →A 10 m ladder leans against a wall at 60° to the ground. At what height does its top touch the wall?Read the answer and worked solution →A 14 m ladder rests against a wall and makes 30° with the wall. How far is its foot from the wall?Read the answer and worked solution →A 20 m ladder reaches a point 10 m up a vertical wall. What angle does it make with the ground?Read the answer and worked solution →A kite flies at the end of a taut 100 m string inclined at 30° to the ground. How high is the kite?Read the answer and worked solution →A taut kite string 60√3 m long makes 60° with level ground. Find the height of the kite above the ground.Read the answer and worked solution →An observer 1.5 m tall stands 28.5 m from a chimney and sees its top at 45° elevation. How tall is the chimney?Read the answer and worked solution →A person whose eyes are 1.6 m above the ground stands 20 m from a pole and sees its top at 45°. Find the pole height.Read the answer and worked solution →A cliff is 50 m high. The angle of depression of a boat at sea from its top is 45°. How far is the boat from the cliff foot?Read the answer and worked solution →A lighthouse is 100 m high. A boat is seen from its top at a depression of 30°. How far is the boat from the base?Read the answer and worked solution →A car is seen at 30° depression from a 60 m roof. How far is it from the base?Read the answer and worked solution →A 6 m tall vertical pole casts a shadow 2√3 m long. What is the elevation of the Sun?Read the answer and worked solution →A tree breaks so that its top touches the ground at 30° to it, 6√3 m from the foot. What was the original tree height?Read the answer and worked solution →Two equal poles flank an 80 m road. Tops seen at 60° and 30° from a point between. Pole height?Read the answer and worked solution →A tower's shadow is 40 m longer when the Sun's altitude is 30° than when it is 60°. Find the tower height.Read the answer and worked solution →A 10 m building top is seen at 30° and the flagstaff top at 45°. Take √3 as 1.732. Flagstaff length?Read the answer and worked solution →A tower's top is seen at 60° from a canal bank, and at 30° from 20 m farther back. Canal width?Read the answer and worked solution →A car's depression from a tower top goes 30° to 60° in 6 s. Time left to reach the base?Read the answer and worked solution →Points 4 m and 9 m from a tower's foot see its top at complementary elevations. Tower height?Read the answer and worked solution →Walking 30 m toward a tower, the top's elevation rises from 30° to 45°. Tower height?Read the answer and worked solution →As an observer walks toward the foot of a tower, what happens to the angle of elevation of its top?Read the answer and worked solution →When the Sun climbs higher in the sky, what happens to the shadow of a fixed vertical pole?Read the answer and worked solution →A plane at 3000 m height is seen at 60° elevation. What is the horizontal distance?Read the answer and worked solution →

Worked practice questions

What is the angle between the line of sight and the horizontal for an object above eye level?

  1. Angle of deviation
  2. Angle of elevation
  3. Angle of incidence
  4. Angle of depression
Show answer and solution

Correct answer: B. Angle of elevation

When we raise our head to look at an object above the horizontal, the line of sight and the horizontal form the angle of elevation.

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Looking down from a balcony at a pot, the line of sight makes which angle with the horizontal?

  1. Elevation
  2. Depression
  3. Refraction
  4. Rotation
Show answer and solution

Correct answer: B. Depression

The point viewed lies below the horizontal level, so the angle formed with the horizontal is the angle of depression.

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Which line is drawn from the eye of an observer to the point of the object being viewed?

  1. Transversal
  2. Line of sight
  3. Line of symmetry
  4. Line of action
Show answer and solution

Correct answer: B. Line of sight

The line joining the observer's eye to the point viewed is by definition the line of sight.

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