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    NationalMediumGeometry7–9

    A person 22 m tall casts a shadow 33 m long. At the same moment a tree casts a shadow 1212 m long. How tall is the tree, in metres?

    Uma pessoa com 22 m de altura projeta uma sombra de 33 m. No mesmo instante, uma árvore projeta uma sombra de 1212 m. Qual é a altura da árvore, em metros?

    Drawn to scale on one ground line. The person, 2 m tall, casts a shadow of 3 m; the tree, of unknown height, casts a shadow of 12 m. A dashed line runs from the top of each to the tip of its own shadow, and the two lines are parallel, because the sunlight arrives at the same angle.2 m?3 m12 m

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    Solution

    Step 1 of 3

    1. 1.The two triangles are similar, so the ratios match.