The shadow of a telegraph pole 5.1 m high, if the shadow of a pole 1.7 m high is 2.1 m.

univerkov | March 7, 2021 | education

Let us prove that triangle ACD is similar to triangle ABK.

Both triangles are straight, since CD and BK are perpendicular to AD, and the angle A is common for the triangles, then the triangles ACD and ABK are similar in acute angle.

CD / BK = AD / AK.

5.1 / 1.7 = AD / 2.1.

1.7 * AD = 5.1 * 2.1.

1.7 * AD = 10.71.

AD = 10.71 / 1.7 = 6.3 m.

Answer: The length of the shadow from the telegraph pole is 6.3 meters.

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