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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?

Respuesta :

Answer:

 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

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