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CBSE Class 10 Maths (Standard) 2024 · Paper 30(B)/S · Question 37

Some Applications of Trigonometry 4 marks Medium
A class VI student went to a park and went up the slide to play. The angle of elevation of the slide is , but the base from which the angle of elevation is measured is 50 cm above the ground level and the distance of this point from the bottom of the staircase (which is vertical) is m. Based on the above information, answer the following questions: (i) Write the angle of depression from the top of the slide to its base. (ii)(a) Find the height of the staircase. OR (ii)(b) Find the length of the slide. (iii) Will the angle of elevation increase or decrease if the staircase was made taller?
  1. iWrite the angle of depression from the top of the slide to its base.[1]
  2. ii(a)Find the height of the staircase.[2]
  3. ii(b)Find the length of the slide.[2]
  4. iiiWill the angle of elevation increase or decrease if the staircase was made taller?[1]

Answer

(i) The angle of depression is . (ii)(a) The height of the staircase is m. (ii)(b) The length of the slide is m. (iii) The angle of elevation increases.

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