Answer:x = 7√3/3
Step-by-step explanation:
The given triangle is a right angle triangle. To determine the value of x, we would apply trigonometric ratios of tan but the opposite side and adjacent sides would depend on the reference angle used. Taking 30 degrees as the reference angle,
Tan # = opposite side/adjacent side
Opposite side = x
Adjacent side = 7
# = 30 degrees
Therefore,
Tan 30 = x/7
x = 7tan30 = 7 × 1/√3 = 7/√3
= 7/√3 × √3/√3 = 7√3/3
