The discussion revolves around a trigonometry puzzle related to a geometric problem involving a circle representing the Earth and a chord of 70 km. Participants explore methods to solve the problem, focusing on the application of trigonometric principles and geometric diagrams.
Participants express uncertainty about the next steps in solving the problem, and while some methods are proposed, there is no consensus on a definitive solution or approach.
The discussion includes assumptions about the geometric configuration and the specific lengths involved, but these are not fully resolved or clarified.
Individuals interested in trigonometry, geometry, or problem-solving in mathematical contexts may find this discussion relevant.
Draw a diagram involving the circle representing the Earth, two conveniently chosen radii, and the chord of interest.slipF said:
So you've drawn a diagram ? Which particular radii did you use ? (Look for right-triangles).slipF said:sorry, I don't know where to take it from there
Yep. But note that the radius that bisects your 70km chord has two parts, the part above the chord is the length you're looking for. You can find this part by finding the length of the part underneath the chord. My plan would be to draw another radius to connect to one endpoint of the chord. This creates a right triangle created from that radius, the unknown length of the other radius that lies between the chord and the center of the Earth, and half the chord. A diagram is always useful in solving geometry problems.slipF said: