Answer:
Let the distance between woman and pole be "x".
From diagram,
In ΔOAB,
tan 18 = 
tan 18 = 
∴ x =
................ (1)
In ΔOBC
tan 14 = 
tan 14 = 
y = x × tan 14 ..............(2)
equating (2) in (1), we get;
x = 
x = 
∵ tan 18 + tan 14 = 0.574
<em>∴ x = 113.2 ft</em>
<em>i.e. The her distance from the pole is 113.2 ft.</em>
Answer:
2/27
Step-by-step explanation:
In the question we have:
4 snickers
2 packages of M&M's
3 Butterfingers.
Total number of candies in the Halloween bag = 9
Probability of selecting some M&M's and putting them back = 2/9
Probability of selecting a Butter finger = 3/9
Therefore, the probability of selecting some M&M's, putting them back, and then selecting a Butterfinger =
Probability of selecting some M&M's and putting them back × Probability of selecting a Butter finger
2/9 × 3/9
= 6/ 81
= 2/27
The equation of the line is 
Explanation:
The equation of the line is perpendicular to
The equation is of the form
where m=-14
<u>Slope:</u>
The slope of the perpendicular line can be determined using the formula,



Thus, the slope of the line is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the slope
and the point (2,-4), we get,

Simplifying, we get,



Thus, the equation of the line is 
Answer:
The answer is 314.159 which can be rounded to 314.