4: A pole 6 m high casts a shadow 2√ 3 m long on the ground, then the Sun’s elevation is
(A) 60° (B) 45° (C) 30° (D) 90°
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⠀⠀ıllıllı uoᴉʇnloS ıllıllı
Let BC be the pole and AB be its shadow.
- Figure provided in the above attachment.
In triangle ABC,
tan θ = BC/AB
= 6/2√ 3
= 3/√ 3
= (√ 3 × √ 3 )/ √ 3
= √ 3
tan θ = tan 60°
θ = 60°
- Hence, the Sun’s elevation is 60°.
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