Answer:
Step-by-step explanation:
The formula for determining the slope of a ramp is expressed as
Slope = rise/run
The first ramp has the rise of 5 feet and run of 12 feet. This means that the slope of the first ramp is
Slope = 5/12 = 0.417
The second has the rise of 6 feet and the run of 3 feet. This means that the slope of the second ramp is
Slope = 6/3 = 2
The lower the run, the steeper the slope. This means that the second ramp is steeper than the first ramp.
This can be confirmed by calculating the angle formed by each ramp. To determine the angle formed by the ramp with the horizontal, we would apply we would apply
the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Considering the first ramp,
Tan θ = 5/12 = 0.417
θ = Tan^-1(0.417)
θ = 22.6°
Considering the second ramp,
Tan θ = 6/3 = 2
θ = Tan^-1(2)
θ = 63.4°
The second ramp forms a greater angle. Thus, it is steeper.
Answer:
117 degrees
Step-by-step explanation:
The sum of all angles in a triangle equals 180 degrees. If you know two of the degrees, you can subtract them to get the third.
180 degrees - 27 degrees - 36 degrees = 117 degrees
Answer:
x= 1/2
Step by Step explanation:
1- Substitute f (x) = 0
2- Determine the defined range
3- Swap the sides
4- Use the inverse trigonometric function
5- Evaluate the expression
6- Move the constant to the right
7- Divide both sides
8- Check the solution
