Answer:
2 sqrt(3) =x
Step-by-step explanation:
We know that
cos theta = adjacent side/ hypotenuse
cos 45 = x / sqrt(24)
Multiply each side by sqrt(24)
sqrt(24) cos 45 = x
sqrt(24) * sqrt(2)/2 = x
sqrt(48)/2 =x
sqrt(16 *3) /2 =x
sqrt(16) sqrt(3) /2 =x
4 sqrt(3)/2 =x
2sqrt(3) or sqrt(12)
Since both angle are 45, opposite lengths are equal
Using pythagoras theorem:
(sqrt24)² = x² + x²
24 = 2x²
x² = 12
x = sqrt(12)
x = 2sqrt(3)
