To find the value of theta given that tan(theta) = 24/43, we can use the inverse tangent or arctan function.
arctan(tan(theta)) = arctan(24/43)
Since arctan(tan(theta)) = theta (for -π/2 < theta < π/2), we have:
theta = arctan(24/43)
Using a calculator or a table of trigonometric functions, we can evaluate this as:
theta ≈ 29.5 degrees (rounded to one decimal place)
Therefore, the value of theta is approximately 29.5 degrees.