An airplane is approaching Seattle international airport. The pilot begins a 13 degree angle of descent starting from a height of 500 feet. What is the distance from the plane to the airport?

This one will not be a tan function. As you are trying to find the hypotenuse

of a right triangle, you will need to use the sine function.

Let x be the distance from the plane to the airport.

sin(13) = opposite/hypotenuse

sin(13) = 500/x

x = 500/sin(13)

x ≈ 2325.5 feet

Therefore, the distance from the plane to the airport is approximately 2325.5 feet.