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

sin=7/20

sin^-1=(0.35)=?

To calculate the angle of the ramp with the horizontal, you can use the concept of trigonometry. Specifically, you can use the tangent function, which is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side.

In this case, the vertical height of the ramp is given as 7 meters, and the horizontal distance traveled is given as 20 meters. So, to find the angle, we need to calculate the tangent of the angle.

The tangent of an angle (θ) can be calculated using the formula:

tan(θ) = Opposite / Adjacent

In this case, the opposite side is the vertical height of the ramp (7 meters), and the adjacent side is the horizontal distance traveled (20 meters). Hence, we can write the formula as:

tan(θ) = 7 / 20

To find the value of θ, we can use the inverse tangent function (also known as arctan or atan) on both sides of the equation. This will give us the value of the angle:

θ = arctan(7 / 20)

Using a calculator, we can find:

θ ≈ 19.34 degrees

Therefore, the angle of the ramp with the horizontal is approximately 19.34 degrees.