80640 is the answer for this question
B - 8 = 5
------ ---
b + 9 2
Cross Multiply
2(b-8)=5(b+9)
distribute
2b -16 = 5b + 45
subtract 5b from both sides
-3b - 16 = 45
add 16 to both sides
-3b = 61
divide both sides by -3
b = -61/3 or -20 1/3
Answer:
About 53.13 degrees.
Step-by-step explanation:
If we draw the path of the hiker, or rather, all three vectors with vector B having its starting point at the end point of vector A, a right triangle is formed. We will most likely be using trigonometric functions to solve this.
vector A is parallel to the x axis (West - East), and vector B is perpendicular, so we'll be using the inverse tangent function to get the angle based on the ratio of the lengths of vector B to vector A, which is 
atan
degrees.
If one would be pedantic, they'd say that the direction we have to go to get from vector C to vector A is clockwise, which is anti-mathematical, the true answer would be -53.13 degrees. Alternatively, whatever 360-53.13 is.
let X equal initial string length
X / 16 = 7.3
X = 7.3 * 16
X = 116.8