a tree casts a shadow 29m long. at the same time the shadow cast b a 61cm tall statue is 82cm long. find the height of the tree. round results to the nearest unit.

4 answers

Let's change meters to centimeters. Set up a proportion, cross multiply, and solve for x.

x/2900 = 61/82

82x = 176,900

x = 2,127.32 cm

x = 21.57 = 22 meters
61/82 = h/29
so
h = 61 * 29 / 82

= 21.6 meters high
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=21.6 m