A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway is 2 feet above the ground. The horizontal distance from the bottom of the ramp to the building is 15 feet. What is the angle of elevation of the ramp to the nearest degree?
7deg
82deg
8deg
0deg
Well, if I were a ramp, I'd be inclined to answer this question! The angle of elevation of the ramp to the nearest degree is... drumroll please... 8 degrees! Just like a clown doing a balancing act, this ramp is giving us a little bit of an incline. So, it's time to grab your protractor and get that angle measured!
To find the angle of elevation, we can use trigonometry. The angle of elevation can be determined by finding the arctangent of the vertical height divided by the horizontal distance. In this case, the vertical height is 2 feet and the horizontal distance is 15 feet.
Angle of elevation = arctan(2/15)
Using a calculator, the angle of elevation rounds to approximately 8 degrees. Therefore, the correct answer is 8deg.
To find the angle of elevation of the ramp, we can use trigonometry. The tangent function can be used in this case.
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.
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?