If the length of the shadow of a pole is √3 times the height of the pole, then calculate the angle of elevation of the Sun.
(Class 10 Maths Sample Question Paper)
(Class 10 Maths Sample Question Paper)
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[FIGURE IS IN THE ATTACHMENT]SOLUTION:
Let the height of the pole ( AB) = h .
Length of the shadow (BC ) = √3h
Let ϴ denotes the angle of elevation of the Sun.
In ∆ ABC , tan ϴ = perpendicular/base
tan ϴ = AB /BC
tan ϴ = h / √3 h
tan ϴ = 1/√3
tan ϴ = tan 30°
ϴ = 30 °
Hence , the angle of elevation of the Sun is 30 °.
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Step-by-step explanation:
the angle of elevation of the sun is = 30°