The tailgate of the truck is 3 feet above the ground. The incline of a ramp used for loading the truck is 15° find the nearest tenth of a foot, the length of the ramp

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

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: