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10th Class Mathematics Triangles Question Bank Case Based MCQs - Triangles

  • question_answer
    When the tower casts a shadow of 40 m, same time what will be the length of the shadow of Ajay's house?

    A) 16m

    B) 32m

    C) 20m

    D) 8m

    Correct Answer: A

    Solution :

    Given, HC = 40 cm Let length of the shadow of Ajay's house be HF = l m Since, \[\Delta HFG\tilde{\ }\Delta HCD\] \[\therefore \,\,\,\,\,\frac{HF}{HC}=\frac{FG}{CD}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\frac{l}{40}=\frac{40}{100}\] \[\Rightarrow \,\,\,\,l=\frac{40\times 40}{100}=16\,m\]


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