Find the value of each variable.

Question 1

Question 2

Explanation:

11)

x= 5

${y}^(2) = 2 * {5}^(2) \\ {y}^(2) = 50 \\ y = 5 √(2)$

12)

$\tan(30 ) = (9)/(y) \\ y = (9)/( \tan(30) ) = 9 √(3) \\ {x}^(2) = {9}^(2) + {(9 √(3) )}^(2) \\ {x}^(2) = 324 \\ x = 18$

13)

$\sin(60) = (x)/(22) \\ x = 11 √(3) \\ \cos(60) = (y)/(22) \\ y = 11$

14)

${16}^(2) = {x}^(2) + {y}^(2) \\ x = y \\ {16}^(2) = 2 {x}^(2) \\ x = 8 √(2) \\ y = 8 √(2)$

15)

$\tan(30) = (x)/(42) \\ x = 14 √(3) \\ \cos(30) = (42)/(y) \\ y = (42)/( \cos(30) ) \\ y = 28 √(3)$

16)

${(19 √(2)) }^(2) = {x}^(2) + {y}^(2) \\ x = y \\ 722 = 2 {x}^(2) \\ {x}^(2) = 361 \\ x = 19 \\ y = 19$

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