Question

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?

Answer 1

θ2 = 9.4º

Step-by-step 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