Jam a stick in the ground aligned with the earth's axis and take your bearing from the shadow's direction. Then follow GP's instructions. Never mind that we've reinvented the sundial...
You mean place a stick flat on the ground? (Singapore is pretty much on the equator.)
But don't lose hope, just tell Bezos that Musk wants to fund your space elevator, and vice versa, to goad one of them into funding your $10tn near-equatorial sundial boondoggle.
> Jam a stick in the ground aligned with the earth's axis and take your bearing from the shadow's direction.