Find the length of the shadow of a telegraph pole 5.4 m high if a person 170 cm tall casts a shadow 1 m long.

univerkov | April 25, 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 are similar in acute angle.

CD / BK = AD / AK.

5.4 / ВK = 1.7 / 1.

1.7 * ВK = 5.4 * 1.

1.7 * ВK = 5.4.

ВK = 5.4 / 1.7 = 54/17 = 3 (3/17) m.

Answer: The length of the shadow of the pillar is 3 (3/17) meters.

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