In a water park, people walk a distance of 20 meters up an inclined ramp before getting on a water slide. If the spot from where they start sliding down is located 7 meters above the water’s surface, calculate the angle of the ramp with the horizontal.

Y = 7 m.

r = 20 m.

sinA = Y/r = 7/20 = 0.35.
A = 20.49 Deg.

20.49

To calculate the angle of the ramp with the horizontal, we can use trigonometry.

First, let's define the height and length of the ramp:

Height = 7 meters
Length = 20 meters

To find the angle, we can use the tangent function:

tan(θ) = Height / Length

Plugging in the values:

tan(θ) = 7 / 20

Now, we can use the inverse tangent (arctan) function to find the angle:

θ = arctan(7 / 20)

Using a calculator, we find:

θ ≈ 19.29 degrees

Therefore, the angle of the ramp with the horizontal is approximately 19.29 degrees.

To find the angle of the ramp with the horizontal, we can use trigonometry. We can create a right triangle with the ramp as the hypotenuse, the height above the water's surface as the opposite side, and the distance along the ramp as the adjacent side.

Using the formula for the tangent of an angle, we can write:

tan(angle) = opposite/adjacent

In this case, the opposite side is the height above the water's surface (7 meters) and the adjacent side is the distance along the ramp (20 meters).

tan(angle) = 7/20

To find the angle, we can take the inverse tangent (arctan) of both sides:

angle = arctan(7/20)

Using a calculator, we can find that the angle is approximately 19.96 degrees.

Therefore, the angle of the ramp with the horizontal is approximately 19.96 degrees.