İlkay, while climbing a mountain slope, fixed one end of three ropes of different colors (black and blue) at the same point on the ground and the other ends at different points on the slope. He fixed one end of the red rope at the point where the blue rope was fixed on the slope and the other end at a point on the black rope, without disrupting the linearity of the black rope, as shown in the figure. The distances from the point where one end of the red rope is fixed on the black rope to the ends of the black rope are given in the figure. Given that the angle between the black and blue ropes equals the acute angle between the red rope and the slope, what is the distance between the points where the black and blue ropes are fixed on the slope in meters? A) 60 B) 65 C) 70 D) 75 E) 80
İlkay, while climbing a mountain slope, fixed one end of three ropes of different colors (black and blue) at the same point on the ground and the other ends at different points on the slope.
He fixed one end of the red rope at the point where the blue rope was fixed on the slope and the other end at a point on the black rope, without disrupting the linearity of the black rope, as shown in the figure.
The distances from the point where one end of the red rope is fixed on the black rope to the ends of the black rope are given in the figure.
Given that the angle between the black and blue ropes equals the acute angle between the red rope and the slope, what is the distance between the points where the black and blue ropes are fixed on the slope in meters?
A) 60
B) 65
C) 70
D) 75
E) 80