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

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!