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

  • question_answer
     
    Directions: Q. 21 to 25
    A scale drawing of an object is the same shape at the object but a different size.
    The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. The ratio of two corresponding sides in similar figures is called the scale fact
    Scale factor = length in image/ corresponding length in object
    If one shape can become another using revising, then the shapes are similar. 
    Hence, two shapes are similar when one can become the other after a resize, flip, slide or turn. In the photograph below showing the side view of a train engine. Scale factor is 1 : 200.
                                                                                                                        
    This means that a length of 1 cm on the photograph above corresponds to a length of 200 cm or 2 m, of the actual engine. The scale can also be written as the ratio of two lengths.
    Based on the above information, answer the following questions
    If the length of the model is 11 cm, then the overall length of the engine in the photograph above, including the couplings (mechanism used to connect) is

    A) 22 cm

    B) 220cm

    C) 220m

    D) 22m

    Correct Answer: D

    Solution :

    Given, scale factors = 1: 200 It means that length of 1 cm on the photograph above corresponds to a length of 200 cm (or 2 m) of the actual engine. Since, length of the model is 11 cm. Therefore, the overall length of the engine \[=\text{ }11\text{ }\times \text{ }200\text{ }=\text{ }2200\text{ }cm\text{ }=\text{ }22\text{ }m\]


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