Find the height of a building whose shadow length is 27m, and the sun shadow of a person 1m60cm tall is 2m40cm.
| August 1, 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.
CD / 1.6 = 27 / 2.4.
2.4 * CD = 27 * 1.6.
2.4 * CD = 43.2.
CD = 43.2 / 2.4 = 18 m.
Answer: The height of the building is 18 meters.
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