Suppose the distance between two cities on a map is 5.2 inches . the scale is 1 inch = 80 miles . what’s the actual distance between the cities ?

416 miles

Step-by-step explanation:

Set up a proportion to solve this...

1 inch is to 80 miles, as 5.2 inches is to 'x' miles  

1/80 = 5.2/x             now solve for x by cross multiplying

x = 416

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.