Let us observe the given figure,
When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.
As, we can observe that the given lines intersect each other, and they form vertically opposite angles as
and 
Therefore, 
Substituting the given measures of the angles, we get




So, x = 
Since, the measure of angle POR = 
= 
= 
Therefore, the measure of angle POR is 49 degrees.
(27576km/hr)(24hr/day)(orbits/42600km)=orbits/day=15.53
So the station makes 15 FULL orbits per day
(27576km/h)(1000m/km)(h/3600s)=7660m/s
8x - 6 - 12x^2 + 9x
2(4x-3)-3x(3x-3)
=> (2-3x)(3x-3)
=> 3(x-1)(2-3x)
The mnemonic SOH CAH TOA helps you remember the relevant trig relationship is
Sin(α) = Opposite/Hypotenuse
sin(α) = (1 ft)/(14 ft)
α = arcsin(1/14) ≈ 4°
The angle the ramp makes with the sidewalk is 4°.
<h3> Hope this attachment helps u</h3>