Question

A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 19°. (Round your answers to the nearest foot.)

Answer 1

Distance to Gateway Arch from Plane = 122862.14 ft

Explanation:

Refer the given figure.

We have

`sin 19 =(BC)/(AC)\\\\sin 19 =\frac{40000}{\texttt{Distance to Gateway Arch from Plane}}\\\\\texttt{Distance to Gateway Arch from Plane} =(40000)/(sin19)\\\\\texttt{Distance to Gateway Arch from Plane}=122862.14ft`

Distance to Gateway Arch from Plane = 122862.14 ft