Which of the following are solutions to the system graphed below.
1 answer:
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Answer:
The height of the tower = 420.48 meters
Step-by-step explanation:
For better understanding of the solution, see the figure attached below :
Let the height of the tower be x meters
Now, using the laws of reflection : angle of reflection = angle of incidence
Also, both the tower and the tourist are standing parallel to each other
⇒ ∠A = ∠i ( Alternate interior angles are equal)
Similarly, ∠D = ∠r ( Alternate interior angles)
But, ∠i = ∠r
⇒ ∠A = ∠D
Also, the tourist and the tower is perpendicular to the ground surface.
⇒ m∠B = m∠E = 90°
Now, in ΔABC and ΔDEC
∠A = ∠D (Proved above)
m∠B = m∠E = 90°
So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC
As the sides of similar triangles are proportional to each other
Hence, The height of the tower = 420.48 meters
Answer:
The equation of line with given points is 2Y - X - 5 = 0
Step-by-step explanation:
Given points are ( - 3 , 1) and (9 , 7)
Equation of line is y = mx +c
where m is the slop of line
Now m =
Or, m =
so, slop =
∴ slop =
Now the equation of line with points ( -3 , 1) and slop m is :
Y - y1 = m ( X - x1)
Or, Y - 1 = (X + 3)
Or, 2Y - X - 5 = 0
Hence The equation of line with given points is 2Y - X - 5 = 0 Answer