Final answer:
To find the value of 'a', we take the inverse tangent of 2.4.
Step-by-step explanation:
In this question, we are given that tan(a) = 2.4. We are asked to find the value of a when it lies between 0 degrees and 90 degrees.
To find a, we need to take the inverse tangent (arctan) of 2.4: a = arctan(2.4) ≈ 67.38 degrees.
Therefore, the value of a is approximately 67.38 degrees.