Answer:
The horizontal distance is 46.1 miles.
Step-by-step explanation:
Here, the given question can be explained by the sides of a right angled triangle. Let x represent the horizontal miles, then applying an appropriate trigonometric function;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]7.9^{o}[/tex] = [tex]\frac{6.4}{x}[/tex]
0.1388 = [tex]\frac{6.4}{x}[/tex]
x = [tex]\frac{6.4}{0.1388}[/tex]
= 46.1095
x = 46.1 miles
The plane needs to travel a horizontal distance of 46.1 miles.
