To find the distance between two small towns, an electronic distance measuring (EDM) instrument is placed on a hill from which both towns are visible.

If the distance from the EDM to the towns is 4.2 miles and 4 miles and the angle between the two lines of sight is 69 degrees, find the distance between the towns to the nearest tenth of a mile.

4.6 miles

Step-by-step explanation:

-Since we are given 2 sides and an included angle, we use the Cosine Rule to calculate the distance between the two towns.

-69° is the angle corresponding to the the distance between the two towns;

Hence, the distance between the towns is 4.6 miles

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: