Question

Harry and Sally are sitting on opposite sides of a circus tent when an elephant trumpets a loud blast. If Harry experiences a sound intensity level of 54 dB and Sally experiences only 46 dB, what is the ratio of the distance between Sally and the elephant to the distance between Harry and the elephant?

I have the two equations I am stuck on the Log math, it has been a long time since I have done that kind of math. (Needing help aranging to solve for the ratio)

Answer 1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

Harry and Sally are sitting on opposite sides of a circus tent when an elephant trumpets a loud blast. If Harry experiences a sound intensity level of 62 dB and Sally experiences only 51 dB, what is the ratio of the distance between Sally and the elephant to the distance between Harry and the elephant?

dB1 = 10*log(I1/Io)

db2 = 10*log(I2/Io)

dB1 - dB2 = 10*log(I1/I2)

I1/I2 = 12.58

r2^2/r1^2 = 12.58

r2/r1 = 3.54