Jared has to go to school. After school, he needs to stop at the grocery store before heading home. Jared’s school is 5.8 miles from his house at 40° north of east. The grocery store is 2.6 miles from his house at 10° west of north. How far is Jared's school from the grocery store? Round the answer to the nearest tenth. A.
3.8 miles
B.
4.6 miles
C.
5.0 miles
D.
6.4 miles

Answer

4.6 miles

Step-by-step explanation:

part a: 1.08

part b: 27.59

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)