# Real Life Applications of Geometry

Geometry Level 5

We all know that in summers days are longer and nights are shorter. So let's apply a little geometry to calculate the hours of daylight in a complete day.

Let the percentage of hours of daylight out of total hours in a complete day be $$x$$. What is the value of $$\left\lfloor(10 x-500) \right\rfloor$$?

Details and Assumptions

• We are talking about the day of summer solstice in Jaipur.

• The latitude of jaipur is $${ 27 }^{ \circ }$$

• The tilt of the earth's axis $${ 23.5 }^{ \circ }$$

• Assume earth to be perfectly spherical, ceteris paribus.

• Use of scientific calculator is advised for the calculations to get the right accuracy.