20. The wheelchair ramp at the entrance of the Mission Bay Library has a slope of 1/18. What angle does the ramp make with the sidewalk? Round to the nearest degree.
The slope is 1/18 not 1/8. Also, the complete is:
tan(angle) = 1/18
to get the angle use the inverse tan function (tan^-1)
angle = tan^-1(1/18) ~= 3 degrees.
in parallelogram , TRIG m<R 2x + 19 m<G = 4x - 17
in parallelogram , TRIG m<R 2x + 19 m<G = 4x - 17
what is m<t
To find the angle that the ramp makes with the sidewalk, we can use some trigonometry. The slope of the ramp is given as 1/18, which means that for every 18 units of horizontal distance, the ramp rises by 1 unit.
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In this case, the opposite side is the height of the ramp and the adjacent side is the horizontal distance.
Let's denote the angle we are looking for as θ. We can set up the following equation:
tan(θ) = height of ramp / horizontal distance
Since the height of the ramp is 1 and the horizontal distance is 18 (given by the slope), we have:
tan(θ) = 1/18
To find θ, we can take the inverse tangent (arctan) of both sides of the equation:
θ = arctan(1/18)
Calculating this on a calculator, we get θ ≈ 3.17 degrees.
So, the ramp makes an angle of approximately 3 degrees with the sidewalk.
tanØ = 1/8 = .125
Ø = 7.13 or appr 7°