Question

I need help solving and understanding this question!!!

Answer 1

Answer:

h = 3589.9 meters ⇒ answer (D)

Step-by-step explanation:

∵ P(h) = P0 . e^(-0.00012h)

∵ P(h) = 65% of P0

∴ $0.65P_{0}=P_{0}.e^{-0.00012h}$

∴ $0.65=e^{-0.00012h}$

∵ Insert ln in both sides

∴ $ln(0.65) = ln(e^{-0.00012h}) = -0.00012h(lne)$

∵ ln(e) = 1

∴ h = ln(0.65)/-0.00012 = 3589.9 meters