Question

Ally and Adam are standing in the mall area when an admin

walks up to them, they decided to run away as fast as they can. The angle
between the two paths is 55 degrees. Bruda traveled 3 miles and Pankey
went 10 miles. At this point, what is the distance between the teachers?
Round to nearest tenth (1 decimal).

Answer 1

2.5 miles

Given angle to be 55° and one side to be 3miles and the other to be 10 miles , represent it in a triangle and making use of SOHCAHTOA , you solve for opposite using:

Sin 55°= x/3

Then you have x = 3 × sin 55

which is 2.45

approximately 2.5 miles.