billy is building a ramp. the ramp creates a 12 degree angle with the ground and is 32 feet from the building. the ramp is ___ feet long. (round to the nearest tenth)

The ramp is 32.7 feet long

Step-by-step explanation:

The geometrical conditions of the question are shown in the figure below.

Let L be the length of the ramp. The ramp, the wall of the building, and the ground form a right triangle where L is its hypotenuse and the distance of 32 ft is the adjacent leg to the angle of 12°.

To find the length of the hypotenuse, we use the trigonometric ratio called the cosine:

To find L, we solve the above equation:

The cosine of 12° is computed with a scientific calculator:

L = 32.7 feet

The ramp is 32.7 feet long

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

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