Question

An airplane flying 4000 feet above the ground. if the angle of depression to the airport runaway is 12 degrees. how far is the airplane from the runaway (hypotenuse)

a.) label the triangle with the given information and use x to label the side you are looking for.

b.) solve for the missing side

pls help

Answer 1

The answer will be 7457.7 m

Answer 2

x is 7457.7 m

Explanation:

Check the labelled diagram below.

Now, we have opposite and hypotenuse, so we use sine formula over here.

sin Φ = opposite / hypotenuse

sin 12° = 4000 / x

x = 4000 / sin 12°

x = -7454.71839113

Since distance can not be negative,

x is 7457.7 m