Question

4. No triângulo retângulo da figura abaixo, determine as
medidas de xey indicadas (Use: sen 65° 0,91;
COS 65º =
0,42;tg 65° = 2,14)
​

Answer 1

$\mathsf{tg(60^{\circ})=\dfrac{12\sqrt{3}}{b}}\\\mathsf{\sqrt{3}=\dfrac{12\sqrt{3}}{b}}\\\large\boxed {\boxed{\boxed{\boxed{\mathsf{b=12}}}}}$

$\mathsf{cos(60^{\circ})=\dfrac{b}{a}\to~\dfrac{1}{2}=\dfrac{12}{a}}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{a=2.12=24}}}}}$