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Everything Should Be Made as Simple as Possible, But Not Simpler A. Einstein

Applied Problems on Similarity: How to use the idea of similar triangles to solve practical problems? . Everything Should Be Made as Simple as Possible, But Not Simpler A. Einstein. How Far is the Ship?. How tall is the Tower?.

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Everything Should Be Made as Simple as Possible, But Not Simpler A. Einstein

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  1. Applied Problems on Similarity: How to use the idea of similar triangles to solve practical problems? Everything Should Be Made as Simple as Possible, But Not Simpler A. Einstein

  2. How Far is the Ship?

  3. How tall is the Tower? Take a pole, 1 m tall and stick it perpendicular to the ground. The length of the shadow of the stick is 1.6 m. Then measure the length of the shadow of the tower. Suppose it is 24 m long. Let v be the height of the tower. Set up the proportion for corresponding sides and find v.

  4. How Wide is the River? On the other side of the river notice a violet Willow tree (labeled V). Then choose points A, B, C, and D on our side of the river such that the conditions of similarity are met (what are those?). Find the width of the river, x.

  5. How Far is the Kayak? Take two points B and C such that point K (the kayak) is on the same line as BC. Now choose another pair of points A and D, such that A, D and K are also collinear (lying on the same line) and AB║CD. We measure and find that AB = 8 m, CD = 7 m and BC = 10 m. How far is the kayak?

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