Question

Calcule o valor de y:​

Answer 1

Resposta:

$\sf \cos{30^\circ} = \dfrac{\text{ \sf Cateto Adjacente}}{\text{\sf Hipotenusa}}$

$\sf \dfrac{\sqrt{3} }{2} = \dfrac{50}{y}$

$\sf \sqrt{3 } \cdot y = 2 \times 50$

$\sf \sqrt{3 } \cdot y = 100$

$\sf y = \dfrac{100}{\sqrt{3} } \quad \gets \text{\sf Racionalizar o denominador.}$

$\sf y = \dfrac{100}{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \dfrac{100 \sqrt{3} }{\sqrt{3^2} } = \dfrac{100 \sqrt{3} }{3 } = 57,73$

Explicação passo-a-passo: