13.42 is how long the wire is to the nearest hundredth of a foot
Answer:

Step-by-step explanation:
We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.
Therefore, we have:
, where
is the distance between the base of the tower and the fire.
Solving, we get:

Well your slope is -1/4 and your y-intercept is 9
Answer:
m = -1/3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation
x + 3y = 10
Step 2: Convert to slope-intercept form
3y = 10 - x
y = 10/3 - x/3
We see that our slope would be the term -1/3x. Since <em>m</em> is the coefficient of <em>x</em> and our slope, our slope <em>m</em> = -1/3
We use the tangent for this
tan 26 1 = opposite / adjacent = h / 205 where h = height of cliff
h = 205 tan 26 1 = 100 feet