The Antler Spread a (In Inches)and Should Height H (In $h = 116 \log _ { 10 } ( a + 40 ) - 176$

Multiple Choice

The antler spread a (in inches) and should height h (in inches) of an adult male American elk are related by the model $h = 116 \log _ { 10 } ( a + 40 ) - 176$ . Approximate (to the nearest inch) the shoulder height of a male American elk with an antler spread of 52 inches.

A) 52 inches
B) 59 inches
C) 30 inches
D) 57 inches
E) 63 inches