Step-by-step explanation:
the easiest way in this situation is for me the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the angles are always opposite of each other.
we have here a right-angled triangle.
therefore, we know the angle of the bottom-left corner : 90 degrees.
the upper angle is 90-10 = 80 degrees.
and the bottom-right angle is then therefore 10 degrees.
remember that the sum of all angles in a triangle is always 180 degrees.
so, we have
x/sin(90) = x/1 = x = 500/sin(10) = 500/0.173648178... =
= 2,879.385242 ≈ 2,879.4 m
