Question

I need help solving and understanding this question!!!

Answer 1

h = 3589.9 meters ⇒ answer (D)

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