Analyze the diagram below and complete the instructions that follow.
find the value of x.
a.√3
b. 3√2/2
c. 3√2
d. 3√3

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

!!

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63