Respuesta :
Using the slope concept, it is found that Plane A was farther away.
What is a slope?
- The slope is given by the vertical change divided by the horizontal change.
- It's also the tangent of the angle of depression.
For Plane A:
- The vertical change is of 7 miles.
- The horizontal change is of [tex]x_A[/tex], which is the distance we want to find.
- The angle is of 42º.
Hence:
[tex]\tan{42^{\circ}} = \frac{7}{x_A}[/tex]
[tex]x_A = \frac{7}{\tan{42^{\circ}}}[/tex]
[tex]x_A = 7.77[/tex]
For Plane B, we have that:
- The vertical change is of 7 miles.
- The horizontal change is of [tex]x_B[/tex], which is the distance we want to find.
- The angle is of 44º.
Hence:
[tex]\tan{44^{\circ}} = \frac{7}{x_B}[/tex]
[tex]x_B = \frac{7}{\tan{44^{\circ}}}[/tex]
[tex]x_B = 7.25[/tex]
7.77 > 7.25, hence Plane A was farther away.
You can learn more about the slope concept at https://brainly.com/question/26342863