Class 10 Heights and Distances Mock Test (ICSE)

Topics in Heights and Distances

• Angle of elevation
• Angle of depression
• Problems with one triangle
• Problems with two triangles

Heights and Distances practice questions with answers

1. Q1Multiple choice·1 mark
   When the sun's altitude is $45^\circ$, the length of the shadow of a vertical pole is equal to:

   1. (a)twice its height
   2. (b)its height
   3. (c)$\sqrt{3}$ times its height
   4. (d)half its height
   Show answer and step marks

   1. Correct option: (b) its height+1

   Answer: (b)
2. Q2Multiple choice·1 mark
   From the top of a tower $50\text{ m}$ high, the angle of depression of an object on the ground is $30^\circ$. The distance of the object from the base of the tower is:

   1. (a)$50\sqrt{3}\text{ m}$
   2. (b)$50\text{ m}$
   3. (c)$25\sqrt{3}\text{ m}$
   4. (d)$\frac{50}{\sqrt{3}}\text{ m}$
   Show answer and step marks

   1. Correct option: (a) $50\sqrt{3}\text{ m}$+1

   Answer: (a)
3. Q3Multiple choice·1 mark
   A ladder $10\text{ m}$ long reaches a window $5\text{ m}$ above the ground. The angle made by the ladder with the ground is:

   1. (a)$60^\circ$
   2. (b)$90^\circ$
   3. (c)$30^\circ$
   4. (d)$45^\circ$
   Show answer and step marks

   1. Correct option: (c) $30^\circ$+1

   Answer: (c)

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