Answer:
162.5 meters
Step-by-step explanation:
With respect to the angle given, the side from Meg to Store (150m) is the side that is "opposite" to the angle.
The side from Store to Bank is the side that is "adjacent" to the angle.
So, we have Opposite side and want to know the Adjacent side.
Which trigonometric ratio relates "opposite" to "adjacent"??
Yes, it is Tan!
We write the trig equation and solve for the distance (letting it be x):
[tex]Tan(42.71)=\frac{Opposite}{Adjacent}=\frac{150}{x}\\x=\frac{150}{Tan(42.71)}\\x=162.49[/tex]
Rounding the answer to 1 decimal place, it is:
162.5 meters
