Howler monkeys vocalize throughout the day in order to establish territorial boundaries with neighbouring troops. One monkey stands r1 = 0.50 m away from a howling friend, and he measures the sound level to be 1 = 130 dB. He then moves to a new distance r2 where the sound level resembles that of a bird call (2 = 50 dB) What is the new distance r2? (Ignore any damping/reflection of the sound wave for this problem.)

For the limit check, investigate what happens to r2 if the desired sound level grows extremely large (2 ).

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Representation

Algebraic answer (without numbers)

Numerical answer

Limits Check