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Answer:8tan(30)

Step-by-step explanation:

It is right angle triangle. The given data includes angle 30 and the side "b" infront i.e. perpendicular and the base 8ft.

So tan(30)=b/8

The equation that can be used to solve for b is as follows:

b = 8 tan 30°

Properties of a right angle triangle:

  • One of its angle is 90 degrees.
  • The sides and angles can be found using trigonometric ratios like sine, tangent and cosine.

The triangle above is a right angle triangle. The side b can be found as follows:

Using trigonometric ratio,

tan 30° = opposite / adjacent

opposite side = b

adjacent side = 8 ft

Therefore,

tan 30° = b / 8

cross multiply

b = 8 tan 30°

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