Recent content by Piet Pols

At first sight this problem looks insolvable as you end up with one equation and two unknowns. However, you do not need brute force, since you have more information i.e. the number of dollars and the number of cents need to be natural numbers and the number of cents can never exceed 99. Is this...

This just leads to two equations and two unknowns. So mathematically speaking there is one unique solution. Please let us know if you find otherwise.

All this is calculated by the sinus and cosine rule. In any spherical triangle call the corners A, B and C and the opposite sides a, b and c. Then the sinus rule is: sin(A)/sin(a)=sin(B)/sin(b)=sin(C)/sin(c) or in words: the ratio between the sinus of an angle and the sinus of its opposite side...