The pillar is 6 meters high and casts a shadow 4 meters long. Find the length of the shadow of the person
| June 16, 2021 | education
The pillar is 6 meters high and casts a shadow 4 meters long. Find the length of the shadow of the person standing near this pillar. Its length is 1.8 meters.
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.
6 / 1.8 = 4 / AK.
6 * AK = 1.8 * 4.
6 * AK = 7.2.
CD = 7.2 / 6 = 1.2 m.
Answer: The length of a person’s shadow is 1.2 meters.
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