Since angle of depression = 72°54 minutes.
60 minutes = 1°
54 minutes = 54/60 = 0.9°
Therefore 72°54 minutes = 72° + 0.9° = 72.9°
Since angle of depression = 72.9°, the reverse angle of elevation = 72.9°
(Picture representation of this using right angled triangle is needed)
tan 72.9° = Opposite height / Horizontal distance
tan 72.9° = 1191 / x
x = 1191 / tan 72.9 Use a calculator.
x ≈1191 / 3.2506
x ≈ 366.39
Horizontal distance ≈ 366.39 feet.
Hope this helped.
The answer is 2/3 in lowest terms.
Amount of data you use is the dependent variable because it depends on how much you will pay
Answer:
A
Step-by-step explanation:
First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
