1 Answer

Cogsy · Answer 1 · 2022-08-26T01:02:49+0000

Answer:

x = 6√(2)

Explanation:

Reference angle = 45°

Adjacent side = 6

Hypotenuse = x

Applying trigonometric ratio, we have:

cos(45) = (6)/(x)

Multiply both sides by x

x*cos(45) = 6

Divide both sides by cos(45)

x = (6)/(cos(45))

$x = \frac{6}{(√(2))/(2)$ (cos 45 = √2/2)

$x = \frac{6}*{(2)/(√(2))$

x = (12)/(√(2))

Rationalize

$x = \frac{12*√(2)}{√(2)*√(2)$

x = (12*√(2))/(2)

x = (6*√(2))/(1)

x = 6√(2)

Please log in or register to add a comment.