If a 30 - meter pine tree casts a shadow of 30 meters, how far is the tip of the shadow from the top of the tree?

Question

Mathematics

Henry Barker

4 June, 19:36

If a 30 - meter pine tree casts a shadow of 30 meters, how far is the tip of the shadow from the top of the tree?

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Kaiden Reeves · Answer 1

From the information given, this scenario creates a 45-45-90 triangle, allowing us to use the Pythagorean Theorem. 30^2+30^2=x^2. 30^2 is 900, so now you have 900+900=x^2. Add to make 1800=x^2. Now take the square root of both sides. It should come out to be about 42.43 meters.