Question

Considere o triangulo retangulo calcule com duas casas decimais

Resolução da conta por favor

Answer 1

achando a medida AB

$(AB)^2= 4^2+7,5^2\\\\(AB)^2=16+ (\frac{75}{10} )^2\\\\(AB)^2=16+ (\frac{15}{2})^2\\\\ (AB)^2= 16+ \frac{15^2}{2^2}\\\\(AB)^2= \frac{16*^2+15^2}{2^2} \\\\(AB)^2= \frac{305}{4} \\\\AB= \sqrt{ \frac{289}{4} } = \frac{17}{2}$

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$cos(B)= \frac{CB}{AB} \\\\cos(B)= \frac{ \frac{15}{2} }{ \frac{17}{2} } = \frac{15}{17}$
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$tg(B)= \frac{AC}{CB} \\\\tg(B)= \frac{4}{ \frac{15}{2} } = \frac{8}{15}$
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$cos(A)= \frac{AC}{AB} \\\\cos(A)= \frac{4}{ \frac{17}{2} } = \frac{8}{17}$
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$tg(A)= \frac{CB}{AC} \\\\tg(A)= \frac{ \frac{15}{2} }{4}= \frac{15}{8}$