Question
Download Solution PDF1.5 मीटर उंच मुलगा 4 मीटर उंच दीपस्तंभापासून 3 मीटर अंतरावर उभा आहे. स्तंभाच्या वरचा प्रकाशामुळे मुलाची सावली पडते. मुलाच्या सावलीची लांबी किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
मुलाची उंची (EB) = 1.5 मीटर
मुलगा आणि दीपस्तंभामधील अंतर (BC) = 3 मीटर
दीपस्तंभाची उंची (DC) = 4 मीटर
वापरलेली संकल्पना:
त्रिकोणमितीची संकल्पना वापरली जाते.
गणना:
समजा, सावलीची लांबी = AB मीटर
⇒ tan x = \(EB\over AB\)
आणि, त्रिकोण ADC मध्ये,
⇒ tan x = \(DC\over AC\)
दोन्ही कोन समान आहेत. म्हणून,
⇒ \({EB\over AB} = {DC\over AC}\)
⇒ \({1.5\over AB} = {4\over AB + 3}\)
⇒ 1.5AB + 4.5 = 4AB
⇒ 2.5AB = 4.5
⇒ AB = 1.8 मीटर
⇒ म्हणून, मुलाच्या सावलीची उंची 1.8 मीटर आहे.
Last updated on Jul 18, 2025
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