Question

Qual altura do prédio? ​

Answer 1

Resposta:

$\cos(30) = \frac{60}{hipo} \\ \frac{ \sqrt{3} }{2} = \frac{60}{hipo} \\ \frac{ \sqrt{3} }{2} hipo = 60 \\ hipo = \frac{60}{ \frac{ \sqrt{3} }{2} } \\ hipo = 60 \times \frac{2}{ \sqrt{3} } \\ hipo = \frac{120}{ \sqrt{3} } \\ hipo = \frac{120 \sqrt{3} }{3} \\ hipo = 40 \sqrt{3} \\ \\ \\ \sin(30) = \frac{alt}{40 \sqrt{3} } \\ \frac{1}{2} = \frac{alt}{40 \sqrt{3} } \\ \frac{1}{2} \times 40 \sqrt{3} = alt \\ alt = \frac{40 \sqrt{3} }{2} \\ alt = 20 \sqrt{3} \\ \\ \\ logo \: a \: altura \: corresponde \: 20 \sqrt{3}$