Respuesta :
Answer:
Car B have to travel 10 miles on First Street to get to Oak Street
Step-by-step explanation:
Refer the attached figure.
First street = AB
Main Street = BC = 14 miles
Oak street = AC
We are also given that The intersection of Main Street and Oak Street forms a y° angle, and [tex]tan y^{\circ} = \frac{5}{7}[/tex]
We will use trigonometric ratio
[tex]\frac{Perpendicular}{Base}=Tan \theta[/tex]
So, [tex]\frac{AB}{BC}=tan y[/tex]
[tex]\frac{AB}{14}=\frac{5}{7}\\AB=\frac{5}{7} \times 14\\AB=10[/tex]
Hence Car B have to travel 10 miles on First Street to get to Oak Street
