At a certain time of day, a person 6 ft tall casts a 4 ft shadow. How long is the shadow cast by a 21 ft tree at the same time?

Question

Skye

Mathematics

31 October, 18:31

At a certain time of day, a person 6 ft tall casts a 4 ft shadow. How long is the shadow cast by a 21 ft tree at the same time?

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Cayden Spencer · Answer 1

Triangles APP' and BTT' are similar, because the angles at A and B are the same (height of the sun in degrees) and each has a 90 degree angle. So the sides have the same ratios: 6/4 = 21/x Solve for x to get the length of the tree shadow.