Which equation can be used to solve for b?

b = (8)tan(30º)
b = 8/tan(30º)
b = (8)sin(30º)
b = 8/sin(30º)

Solution:

Using the law of tangents

tanθ = opposite side/ adjacent side

From the figure we know that,

tan(30º) = b/8

By cross multiplication

b = 8tan(30º)

Therefore, the equation b = (8)tan(30º) can be used to solve for b.

Which equation can be used to solve for b?
b = (8)tan(30º), b = 8/tan(30º), b = (8)sin(30º), b = 8/sin(30º)

Summary:

The equation which can be used to solve for b is b = (8)tan(30º).