Interesting problem ...
The key is to realize that the wires have some distance to the ground, that does not change.
The pole does change. But the vertical height of the pole plus the distance from the pole to the wires is the distance ground to the wires all the time. In other words, for any angle one has:
D = L * sin(alpha) + d, where D is the distance wires-ground, L is the length of the pole, alpha is the angle, and 'd' is the distance from the top of the (inclined) pole to the wires:
L*sin(40) + 8 = L*sin(60) + 2, so one can get the length of the pole:
L = (8-2)/(sin(60) - sin(40)) = 6/0.2232 = 26.88 ft (be careful to have the calculator in degrees not rad)
So the pole is 26.88 ft long!
If the wires are higher than 26.88 ft, no problem. if they are below, the concerns are justified and it won't pass!
Your statement does not mention the distance between the wires and the ground. Do you have it?
First we need to find the slope.
slope = (y2 - y1) / (x2 - x1)
slope = (-5 - 2) / (5 - -3)
slope = (-7) / (5 + 3)
slope = -7/8
.
Point-slope form:
y - y1 = m(x - x1)
y - 2 = (-7/8)(x - -3)
y - 2 = (-7/8)(x + 3)
y - 2 = (-7/8)x - 21/8
y = (-7/8)x - 21/8 + 2
y = (-7/8)x - 21/8 + 16/8
y = (-7/8)x - 5/8
If the numerator and the denominator do not have a greatest common factor then the faction is in simplest form
Hello!
First you have to find the rate between the amount of students surveyed by the total amount
You do this by dividing the total amount of students by the amount of students surveyed
1500 / 50 = 30
We multiply the amount of students that have a pet by this number
32 * 30 = 960
The answer is B)960
Hope this helps!
4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>
The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
<h3>Missing Information</h3>
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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