Question

Calcule a medida do X.

Answer 1

a)
sen30° = $\frac{6 \sqrt{3} }{x}$
$\frac{1}{2}$ = $\frac{6 \sqrt{3} }{x}$
x = 2×6√3
x = 12√3

b)
cos45° = $\frac{5}{x}$
$\frac{ \sqrt{2} }{2}$ = $\frac{5}{x}$
√2x = 2×5
√2x = 10
x = $\frac{10}{ \sqrt{2} }$
x = $\frac{10}{ \sqrt{2} }$ × $\frac{ \sqrt{2} }{ \sqrt{2} }$
x = $\frac{10 \sqrt{2} }{ \sqrt{4} }$ 
x = $\frac{10 \sqrt{2} }{2}$ 
x = 5√2