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Q.

A pole 10 m high cast a shadow 10 m long on the ground, then find the sun’s elevation.


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a

60∘

b

45∘

c

30∘

d

90∘ 

answer is B.

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Detailed Solution

Given,
Pole height AB= 10 m,
Cast a shadow AC= 10 m.
Question ImageIn △BAC we have,
tan⁡θ=ABBC
tan⁡θ=1010
tan⁡θ=1
tan⁡θ=tan⁡45o
On comparing we get,
⇒θ=45∘
So, sun's angle of elevation θ=45∘.
Hence, the option 2 is correct.
 
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