To find the value of tan a in a right triangle where cos a = 0.352 and sin a = 0.936, we can use the relationship between these trigonometric functions. The tangent of an angle is defined as the ratio of the sine of that angle to the cosine of that angle.
The formula for tangent is:
tan a = sin a / cos a
Substituting the given values:
tan a = 0.936 / 0.352
Now, performing the division:
tan a ≈ 2.6614
Therefore, the approximate value of tan a is about 2.66.