Question

Na figura PA = 24 cm. Determine o valor da expressão R/D.PA

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{tg\:\Theta = \dfrac{cateto\:oposto}{cateto\:adjacente}}$

$\mathsf{tg\:30\textdegree = \dfrac{r}{\overline{\rm PA}}}$

$\mathsf{\dfrac{\sqrt{3}}{3} = \dfrac{r}{24}}$

$\mathsf{r = 8\sqrt{3}\:cm}$

$\mathsf{d^2 = r^2 + (\overline{\rm PA})^2}$

$\mathsf{d^2 = (8\sqrt{3})^2 + (24)^2}$

$\mathsf{d^2 = 192 + 576}$

$\mathsf{d^2 = 768}$

$\mathsf{d = \sqrt{2^8.3}}$

$\mathsf{d = 16\sqrt{3}\:cm}$

$\mathsf{\dfrac{r}{d.\overline{\rm PA}} = \dfrac{8\sqrt{3}}{16\sqrt{3}.24}}$

$\boxed{\boxed{\mathsf{\dfrac{r}{d.\overline{\rm PA}} = \dfrac{1}{48}}}}$