sir this is the question from the book -ML aggarwal( avichal publication) class 10th , chapter20 , heights and distances., it is an important question of this chapter
we have to find the angle of elevation of the sun when the length of the shadow of a vertical pole is equal to its height. explain in detail
question no 4 , heights and distances , ICSE board
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What is the angle of elevation of the sun when the length of the shadow of a vertical pole is equal to its height.
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Consider AB as the pole and CB as its shadow
θ is the angle of elevation of the sun
Take AB = x m and BC = x m
We know that
tan θ = AB/CB = x/x = 1
So we get
tan 450 = 1
θ = 450
Hence, the angle of elevation of the sun is 450.