slope of ramp = 2/15
Did you know that the slope of a line is the tan(angle line makes)
so tanθ = 2/15
θ = tan-inverse (2/15) or tan^-1 (2/15) = 7.5946... °
What do you think?
7deg
82deg
8deg
0deg
Did you know that the slope of a line is the tan(angle line makes)
so tanθ = 2/15
θ = tan-inverse (2/15) or tan^-1 (2/15) = 7.5946... °
What do you think?
Angle of elevation = arctan(2/15)
Using a calculator, the angle of elevation rounds to approximately 8 degrees. Therefore, the correct answer is 8deg.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this scenario, the opposite side is the height of the ramp (2 feet) and the adjacent side is the horizontal distance from the bottom of the ramp to the building (15 feet).
Therefore, the tangent of the angle of elevation is equal to 2/15.
Using a scientific calculator or trigonometric table, you can find the angle whose tangent is 2/15. To do this, you need to take the inverse tangent, also known as the arctangent, of 2/15.
By taking the arctangent of 2/15, you will find that the angle of elevation of the ramp is approximately 7 degrees.
Therefore, the correct answer is 7 degrees.