Danny has a 15-foot board that he wants to use as a motorcycle ramp.If he wants the end of the ramp to be 4 ft off the ground,what angle will be formed between the board and the ground?
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To find the angle formed between the board and the ground, we need to use trigonometry. In this case, we can use the tangent function.
Let's assume that the angle we're looking for is θ.
The tangent of an angle is defined as equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the ramp (4 ft) and the adjacent side is the length of the board (15 ft).
So, we have the equation:
tan(θ) = opposite side / adjacent side
Plugging in the values:
tan(θ) = 4 ft / 15 ft
Now, we can take the inverse tangent (or arctan) of both sides to find θ:
θ = arctan(4 ft / 15 ft)
Using a calculator, we find:
θ ≈ 15.94 degrees
Therefore, the angle formed between the board and the ground is approximately 15.94 degrees.
If you draw the diagram, you will see that 15 is the hypotenuse of the triangle and 4 is the side opposite your angle.
Sin x = 4/15