Calculate the height of the tree to the nearest tenth of a meter.

Question

At a particular time, a tree casts a shadow 17 m long on horizontal ground. At the same time, a vertical pole 3 m high casts a shadow 4 m long. Calculate the height of the tree to the nearest tenth of a meter.

Answer 1

T/17 = 3/4 Ratio of height to shadow is the same

T = 17(3/4) = 51/4 = exactly 12.75 meters = tree's height

for nearest tenth round up to 12.8 m