I found the complete question and its corresponding choices.
Given:
Based on the figures the angles are 15° and 20°
The opposite is 2 feet.
We are looking for the value of the adjacent.
Using the tan function.
tan θ = opposite / adjacent
adjacent = opposite / tan θ
adjacent = 2 / tan (15°) = 7.46 feet
adjacent = 2 / tan (20°) = 5.49 feet
7.49 feet - 5.49 feet = 1.97 feet
If Owen will use the 15° angle, the ramp needs to be 7.46 feet long.
If Owen will use the 20° angle, the ramp needs to be 5.49 feet long.
