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SSC CGL Heights and Distances — practice questions — page 2

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 31–43 of 43.

From a plane 600 m high, a ground point is at 30° depression. What is the sight distance?Read the answer and worked solution →A ship is seen from the top of a 150 m cliff at a depression of 60°. How far is the ship from the cliff foot?Read the answer and worked solution →A 12 m wire runs taut from a pole top to the ground at 30° elevation. How tall is the pole?Read the answer and worked solution →A 20 m guy wire from a pole top meets the ground at 60°. What is the pole height?Read the answer and worked solution →The Sun's altitude is 60° and a tower casts a 20 m shadow on level ground. How high is the tower?Read the answer and worked solution →Which trigonometric ratio links a tower's height and the ground distance from its foot to the observer?Read the answer and worked solution →Which value equals tan 30°?Read the answer and worked solution →A 50 m tower is seen at 30° and 60° from opposite sides in line. Distance between the points?Read the answer and worked solution →A 6 m ladder makes 60° with the ground and leans on a window sill. How high is the sill above the ground?Read the answer and worked solution →A tower is 100 m tall. How far from its foot must one stand on level ground to see the top at 45° elevation?Read the answer and worked solution →A tower is 30 m high. At what distance from its foot is the top seen at 60° elevation?Read the answer and worked solution →A balloon 88.2 m high rises in view from 60° to 30° for a 1.2 m girl. How far does it drift?Read the answer and worked solution →Which ratio would you use to find a ladder's length from the height it reaches and its angle with the ground?Read the answer and worked solution →

Worked practice questions

From a plane 600 m high, a ground point is at 30° depression. What is the sight distance?

  1. 600 m
  2. 300 m
  3. 1200 m
  4. 600√3 m
Show answer and solution

Correct answer: C. 1200 m

Line of sight length is height divided by sin 30°, which is 600 divided by 1/2, giving 1200 m.

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A ship is seen from the top of a 150 m cliff at a depression of 60°. How far is the ship from the cliff foot?

  1. 150√3 m
  2. 300 m
  3. 75 m
  4. 50√3 m
Show answer and solution

Correct answer: D. 50√3 m

Distance equals 150 divided by tan 60°, which is 150/√3 = 50√3 m.

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A 12 m wire runs taut from a pole top to the ground at 30° elevation. How tall is the pole?

  1. 6 m
  2. 12√3 m
  3. 4√3 m
  4. 12/√3 m
Show answer and solution

Correct answer: A. 6 m

Pole height is wire length times sin 30°, which is 12 times 1/2, giving 6 m.

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