Question

Find the length of side x in simplest radical form with a rational denominator.

Answer 1

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