Answer:
B. 3√2/2
Step-by-step explanation:
The value of x can be found with the tan rule.
Step 1: Identify the sides as opposite, adjacent and hypotenuse to apply the formula
Opposite = (opposite from angle 45 degrees)
Adjacent = x (between angle 45 degrees and 90 degrees)
Hypotenuse = 3 (opposite from 90 degrees)
Step 2: Apply the tan formula
Cos (angle) = adjacent/hypotenuse
Cos (45) = x/3
√2/2 = x/3
x = √2/2 x 3
x = 3√2/2
Therefore, the correct answer is B; x = 3√2/2
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