Question

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Answer 1

A)

$\frac{co}{h} = \frac{6}{x} \\ \\ sen45 = \frac{ \sqrt{2} }{2} \\ \\ \frac{ \sqrt{2} }{2} = \frac{6}{x} \\ \\ x \sqrt{2} = 12 \\ x = \frac{12}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ x = \frac{12 \sqrt{2} }{ \sqrt{4} } \\ \\ x = \frac{12 \sqrt{2} }{2} \\ x = 6 \sqrt{2}$

B)

$\frac{ca}{h} = cos30 \\ \\ \frac{ \sqrt{3} }{2} = \frac{x}{6} \\ \\ 2x = 6 \sqrt{3} \\ x = \frac{6 \sqrt{3} }{2} \\ x = 3 \sqrt{3}$