Answer:
7 sqrt(2)
Explanation:
We can use trig functions
sin theta = opposite side/ hypotenuse
sin 45 = 7/x
Multiply each side by x
x sin 45 = 7
Divide each side by sin 45
x = 7 / sin 45
x = 7 (sqrt(2) /2)
x = 14 / sqrt(2)
We do not leave square roots in the denominator
x = 14 / sqrt(2) * sqrt(2)/ sqrt(2)
12 sqrt(2)/ 2
= 7 sqrt(2)