The figure shows five locations in a city. The road which connects the playground and the pharmacy is parallel to the road which connects the school with the ice-cream shop, as shown.

What is the distance between the town hall and the pharmacy?

1.5 miles

2.0 miles

4.5 miles

3.0 miles

Question

The figure shows five locations in a city. The road which connects the playground and the pharmacy is parallel to the road which connects the school with the ice-cream shop, as shown.
 
What is the distance between the town hall and the pharmacy? 

 1.5 miles 

 2.0 miles 

 4.5 miles 

 3.0 miles

anonymous · Answer

It's 2 miles!

anonymous · Answer

Apply the parallel property, the angle of playground and school are equal! => the distance from pharmacy to icream shop: x = sqrt (12) * tan30 = 2 mi

anonymous · Answer

attachment

anonymous · Answer

Oop! forgot to add  2 + 2 = 4 mi

anonymous · Answer

whats the answer abayomil12?

markrijckenberg · Answer

To get to the answer, you will need to calculate the angle between Townhall-playground and Townhall-Pharmacy using the cosine function in the following page: http://en.wikipedia.org/wiki/Trigonometry Then use the cosine function and calculated angle to obtain the distance between Townhall and Pharmacy.