### Trigonometry - Practical Real world applications and Problems in Trigonometry

#### Trigonometry :

• Trigonometry means Triangle Measurements. (Measurements of triangle)
• Considered as one of the oldest branch of mathametics as it is used since ancient days in the field of astronomy by ancient Indians and Babylonians.
• Historical records show that Babylonians used to divide a circle in 360 parts ,naming it as a degree . Maybe they had divided so, predicting 360 days for an year.
• And Indians discovered and applied sine function around 300 AD.

In modern days, trigonometry is used is real world applications in various fields like Engineering fields, Navigation purposes, Surveying applications etc.

#### Practical Application of Trigonometry :

1. To buy a new ladder :

A man build a room over his house . His budget is not allowing him to build concrete steps to climb for the new room. So he plans to buy a steel ladder to set up so that he could easily climb the room.
He decides to keep the ladder in 60 degree inclination (between ground and the ladder), for comfortable climbing. The height of the house from ground to first floor is 2.5 meters.
He goes to buy the ladder and the shop owner inquires that, what is the height of the ladder? Now,  what is the appropriate height of the ladder he should buy?

Solution :

 Sin 60 = Opposite /Hypotenes (√3 / 2) = 2.5 / Hypotenes Hypotenes = (2.5 x 2 ) / √3 Hypotenes = 5 / 1.732 Length of Ladder = 2.88 meters