UP Police Constable practice question
At a certain time of the day, a flagstaff of height 8 m casts a shadow of 5 m on the ground. At the same time, the tree nearby casts a shadow of 15 m. Find the height of the tree.
From a UP Police Constable Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) 24 m
Since both objects cast shadows at the same time, the sun's angle of elevation is the same for both, so height and shadow are proportional (similar triangles): height/shadow is constant. So height of the tree = 8 × 15/5 = 24 m.
हिंदी में प्रश्न
दिन के किसी निश्चित समय पर, 8 मी ऊँचे एक झंडे के खंभे की परछाई 5 मी लंबी होती है। उसी समय, पास खड़े पेड़ की परछाई 15 मी लंबी है। पेड़ की ऊँचाई ज्ञात कीजिए।
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सही उत्तर: (B) 24 मी
चूँकि दोनों वस्तुओं की परछाई एक ही समय पर बन रही है, इसलिए सूर्य का उन्नयन कोण दोनों के लिए समान है, अतः समरूप त्रिभुजों के गुणधर्म से ऊँचाई और परछाई का अनुपात स्थिर रहता है। इसलिए पेड़ की ऊँचाई = 8 × 15/5 = 24 मी।
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