The length of the shadow cast by a 6 meter high lamppost is 4 meters.
| May 22, 2021 | education
The length of the shadow cast by a 6 meter high lamppost is 4 meters. What is the height of the building if the length of its shadow at the same time is 28 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 are similar in acute angle.
CD / BK = AD / AK.
CD / 6 = 28/4.
4 * CD = 28 * 6.
4 * CD = 168.
СD = 168/4 = 42 m.
Answer: The height of the building is 42 meters.
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