Question

The ramp rises 20 degrees from the ground and a vertical distance of 30 inches . How much horizontal distance does the ramp cover ? Round to the nearest tenth

Answer 1

We can see  a right triangle in this problem,
where a vertical distance is a leg that opposite to the angle 20⁰ , and horizontal distance is an adjacent leg to the 20⁰ angle.
So, 
tan (20⁰) = opposite leg/adjacent leg 
tan (20⁰) = vertical distance/horizontal distance
tan (20⁰) = 30 /horizontal distance

horizontal distance= 30/tan(20⁰) ≈ 82.4 in.