[tex]\frak{\pmb{\underline\red{Question}}}:-[/tex]
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A pole 35m high cast a shadow 12m long. The distance of the top of the pole from the far end of the shadow is _________ m.
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(a) 13
(b) 25
(c) 37
(d) 47
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[tex]\frak{\pmb{\underline\red{Explanation \: needed!!}}}[/tex]
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Answer:
The length of pole, AB = 35 m
Length of shadow, BC = 12 m
Let, AC is the distance from the top to the shadow
[tex] {(ac)}^{2} = {(ab)}^{2} + {(bc)}^{2} [/tex]
[tex] \: \: \: \: {(35)}^{2} + {(12)}^{2} [/tex]
[tex] \: \: \: \: 1225 + 144[/tex]
[tex] \: \: 1369[/tex]
[tex]ac = \sqrt{1369} [/tex]
[tex] \: \: \sqrt{37 \times 37} [/tex]
[tex] \: \: 37[/tex]
Distance of the top to the shadow = 37 m
Ans. c) 37 m
Hope it helps.
Answer:
37 m is the correct ans of your question