The loading ramp at a delivery service is 12 feet long and makes an 15latex: ^\circ∘ angle with the horizontal. if the ramp is replaced with a ramp 19 feet long, what angle does the new ramp make with the horizontal?

 θ2 = 9.4º

Explanation:

For this execution we will use the trigonometry relationships

For the first ramp let's calculate the vertical height where it arrives that is constant

      sin θ = y / L

      y = L sin θ

      y = 12 sin15

      y = 3,106 feet

With this height we can calculate the angle of the second ramp

       sin θ₂ = y / L₂

       θ2 = sin⁻¹ (y / L₂)

       θ2 = sin⁻¹ (3,106 / 19)

       θ2 = 9.4º

the angle of the new ramp is 9.4º

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.