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 45

^{0}= 1θ = 45

^{0}Hence, the angle of elevation of the sun is 45

^{0}.