Question

Determine the unknown side lengths. X= ? Y= ?

Answer 1

Answer:

x = 12

y = 16.97 or 17

Step-by-step explanation:

$\sin \: 45 \degree = \frac{12}{y} \\ \\ \frac{1}{ \sqrt{2} } = \frac{12}{y} \\ \\ y = 12 \sqrt{2} \\ \\ y = 12 \times 1.414 \\ \\ y = 16.968 \\ \\ y \approx \: 16.97\approx \: 17 \: \\ \\ \\ \tan \: 45 \degree = \frac{12}{x} \\ \\ 1 = \frac{12}{x} \\ \\ x = 12$

Answer 2

Answer:

x=12

x=12√2

Step-by-step explanation:

tan45=12/x

x=12

y=√12^2+12^2

y=√144+144

y=√288

y=16.97