Question

- Observe a figura seguinte e determine :

a) a medida X indicada
b) a medida Y indicada

Answer 1

Triângulo ABC:

$\text{tg}~30^{\circ}=\dfrac{x}{300}$

$\dfrac{\sqrt{3}}{3}=\dfrac{x}{300}$

$3x=300\sqrt{3}$

$x=100\sqrt{3}~\text{cm}$


Triângulo DCB:

$\text{tg}~60^{\circ}=\dfrac{x}{y}$

$\sqrt{3}=\dfrac{100\sqrt{3}}{y}$

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

$y=100~\text{cm}$.