Town Hall is located 4.3 miles directly
east of the middle school. The fire
station is located 1.7 miles directly
north of Town Hall.
Part A
What is the length of a straight line
between the school and the fire
station? Round to the nearest tenth.
Part B
The hospital is 3.1 miles west of the
fire station. What is the length of
a straight line between the school
and the hospital? Round to the
nearest tenth.

what?

step-by-step explanation:

what do you need with. i love quadrants. can you tell me ?

step-by-step explanation:

try remembering the steps

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west