Question

Meg is walking around her neighborhood. She stands 150 meters from the grocery store, and she wants to know the distance between the store and the bank.

Which answer is closest to the distance between the store and the bank?

Answer 1

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):

$Tan(42.71)=\frac{Opposite}{Adjacent}=\frac{150}{x}\\x=\frac{150}{Tan(42.71)}\\x=162.49$

Rounding the answer to 1 decimal place, it is:

162.5 meters

Answer 2

Answer:

I just took this test and the correct answer was 162.5.