Question

Owen is building a ramp for his skateboard. the ramp needs to reach a platform that is 2 feet off the ground. he is not sure if he wants the ramp to have 15

Answer 1

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.