2) A door is held open by two opposing taut cables. The top horizontal cable is known to have a tension of 80 N. What is the tension in the opposing diagonal cable?
These things apply to the picture at the right:
The door is 2 m high and 50 cm wide.
The door knob is 1.2 m above the floor.
The outer door edge is 30 cm from the back wall & 40 cm from the left wall.
The top horizontal cable is parallel to the back wall.
The right anchor point is at the intersection of the floor and the back wall and 80 cm from the left wall.
Also: $g = 10 m/s^2$ and the door mass $m = 20 kg$.
Some perfect squares:
$3^2 = 9$, $4^2 = 16$, $5^2 = 25$
$12^2 = 144$, $13^2 = 169$
Some addition facts:
$9 + 16 = 25$, $25 + 144 = 169$