For this case we observe that the three angles of the triangle are equal. Also, we have by definition:
A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or
.
Answer:
The three sides have the same length
Y + 2.3 = 0.45x
y = 0.45x - 2.3
-2y = 4.2x - 7.8
-2(0.45x - 2.3) = 4.2x - 7.8
-0.90x + 4.6 = 4.2x - 7.8
-0.90x - 4.2x = -7.8 - 4.6
-5.1x = - 12.4
x = -12.4 / -5.1
x = 2.4
y + 2.3 = 0.45x
y = 0.45(2.4) - 2.3
y = 1.08 - 2.3
y = -1.2
solution is : (2.4, - 1.2)
Answer:
Angle of elevation of the airplane = 17.46 degrees
Step-by-step explanation:
From the picture attached,
An airplane is flying at an altitude of 1500 ft at point A.
Runway starts from point B from which distance of the airplane is 5000 ft.
Now we apply sine rule in the given triangle ABC to measure the angle θ.
sinθ = 
sinθ = 
= 

degrees
If it's just the 7 that's repeating, let
<em>x</em> = 0.1777...
Then
10<em>x</em> = 1.777...
100<em>x</em> = 17.777...
100<em>x</em> - 10<em>x</em> = 17.777... - 1.777...
90<em>x</em> = 16
<em>x</em> = 16/90 = 8/45
If both 1 and 7 are repeating, let
<em>x</em> = 0.171717...
Then
100<em>x</em> = 17.171717...
100<em>x</em> - <em>x</em> = 17.171717... - 0.171717...
99<em>x</em> = 17
<em>x</em> = 17/99