Final answer:
The pilot should begin his descent 3 miles from the airport.
Step-by-step explanation:
To find when the pilot should begin his descent, we need to set up an equation using the given information. The distance from the airport in miles (d) divided by 3 should be equal to the plane's height above the ground in thousands of feet (h). Mathematically, this can be written as:
d/3 = h/10
To solve for d, we can cross multiply:
d = (3h)/10
Substituting the given height of 10,000 feet (10) into the equation:
d = (3 * 10) / 10 = 3
Therefore, the pilot should begin his descent 3 miles from the airport. Therefore, the correct answer is option d) 15 miles from the airport.