Question

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?

Answer 1

Given :

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.

To Find :

What angle of depression does the airplane need to use to reach the runway?

Solution :

Let, angle of depression is
`\theta` .

So,

`tan\ \theta = ( Altitude \ in \ which \ plane \ is \ flying)/(Horizontal \ Distance)\\\\tan \ \theta = (37000)/(5280)\\\\tan \ \theta = 7.00\\\\\theta = tan^(-1) 7\\\\\theta = 81.87^o`

Hence, this is the required solution.