Question

The tips of the shadows of a tree and of a metre stick meet at a point X. the following measurements are taken:
XS = 3.5m
ES = 6.5m
Use this information to find the height of the tree, to the nearest tenth of a metre.

Answer 1

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Answer 2

What are XS and ES?

Answer 3

one stright line.

Answer 4

Ok, what you have there is two similar triangles (the sides have the same proportions in each). The bigger triangle is \[(6.5+3.5)/3.5\approx2.857\] times bigger than the smaller one. So the height of the tree which is parallel to the metre stick is approx. 2.857 times bigger than the metre stick. So the height of the tree is 2.9 m (1 d.p).