Answer:
Step-by-step explanation:
Cross section is the isosceles trapezoid.
<u>Area of trapezoid:</u>
We have one of the bases and the height.
Let the difference of the base lengths is x.
<u>We have:</u>
- (x/2)/h = cot θ ⇒ x = 2h cot θ
<u>The area is:</u>
- A = 1/2(w + w + 2h cot θ)h = (w + h cotθ)h
<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>A transversal is a line that is intersecting at 2 points. Let's verify all options to see which one is the odd one out.</u>
<h3>__________________________________________________</h3>
<u>Option A</u>
This line is a transversal to AC because it is intersecting in between AC. Hence, Option A is incorrect for this question.
<h3>__________________________________________________</h3>
<u>Option B</u>
This line is also a transversal to AC because it is intersecting in between AC. Hence, Option B is incorrect for this question.
<h3>__________________________________________________</h3>
<u>Option C</u>
This line is not a transversal because it is not intersecting AC. Hence, this will be the correct answer for this question.
<h3>__________________________________________________</h3>
<u>Option D</u>
This line is a transversal because it is intersecting in between AC. Hence, Option D is incorrect for this question.
<h3>__________________________________________________</h3>
After verifying all options, Option C is the most reasonable option. Hence, <u>Option C is correct.</u>
Hoped this helped.
I think it’s: Concurrency of Angle Bisectors of a Triangle.
Answer:
Step-by-step explanation:
X-3y=-5x
(-2y)-3y=15(-2y)
-3y=15
y=-5
Answer:659.64 feet
Step-by-step explanation:
We are given that a cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower so first of all we have to draw a diagram for this scenario as shown below figure 1
Next we are given that angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees as shown in figure 2
So from here we can conclude that as tower is 140 feet tall and the base angle between cable and ground would be also 23 degrees
so we just the trigonometric identity to find x
tan(theta) = opposite over hypotenuse
we know the angle theta = 23
opposite = 140 ( height of tower)
and base is the distance on one side of tower
so finally tan 23 = 140/x (tan = opposite over adjacent)
doing cross multiplication we get
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet