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Serhud [2]
3 years ago
8

Renata precisava medir altura de uma árvore. Para isso, colocou um pedaço de cano enterrado no chão, formando um ângulo de 90º c

om o solo. Depois mediu os comprimentos das sombras da árvore e do cano, Obtendo as medidas indicadas na figura abaixo. Qual é a medida aproximada da altura da árvore? * 7,5 metros 8 metros 9 metros 7 metros
Geography
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

A altura aproximada da árvore é 7,9 metros.

Esta questão está relacionada com a proporcionalidade entre variáveis. A proporção é um valor referente a razão de dois números. Por isso, a proporção está atrelada a fração, onde temos um numerador e um denominador. Desse modo, temos uma relação de equivalência entre dois valores.

Nesse caso, vamos resolver o problema por meio da semelhança entre triângulos. A semelhança entre triângulos ocorre quando existem dois ou mais triângulos com mesmos ângulos internos. Desse modo, existe uma proporção entre suas medidas, que devem ser equivalentes sobre uma determinada razão. Portanto:

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