Answer:
11.2 feet
Step-by-step explanation:
Draw a triangle to represent the problem. (See the one attached.)
The sides involved in this problem are the opposite and adjacent to the given angle, so we need to use the tangent ratio.
To find the length of the ramp, we need to find the tangent of angle 15.
tanx = opp/adj
tan15 = 3/x
Multiply by x on both sides:
x(tan15) = (3/x)x
x(tan15) = 3
Divide by tan15 on both sides:
x(tan15) = 3
/tan15 /tan15
x = 3/tan15
Divide tan15 from 3 using a calculator:
x ≈ 11.2
