The lack of life experience allows some school students and even students to think that more than a half of the studied objects are absolutely useless and will never be useful in life. Actually, knowledge can come to the rescue at the unexpected moment, and will not get textbooks time any more. One of the most useful sciences — the geometry, some types of activity without it are inconceivable.
Geometry in life
Without knowledge of geometry it is impossible to build the house or to repair the apartment. For example, at installation of rafters on a roof the formula of calculation of height of a triangle, especially, is required if a roof asymmetrical. Without it it will be impossible to calculate length of crossbeams and also to learn amount of roofing material. To count the number of blocks or bricks for a wall, tiles for repair of the bathroom, boards for a floor — knowledge of formulas of surface area, and is necessary for volume coverings, for example, of heaters — volume formulas.
Development of the system of ventilation, heating, the sewerage or water supply in the house or the apartment will require calculation of internal volume of pipes, and it cannot be made without formula of the area of a circle. Of course, it is possible to entrust it to professionals — but without knowledge of geometry it will be impossible even to understand drawings and to check quality of work.
In general, drawings meet even to the person, far from them, throughout all life. It is the drawing of the house or the plan of repair, drawings of details at the plant which not only the designer and the technologist, but also the turner, the welder, the controller, managers of purchasing departments and sales need to know. The motorist who will want to make repairs of the car by all means will face drawings.
Why sine and cosines are necessary
The trigonometry is irreplaceable during the work with the land plot, for example, at construction of the house or a marking of beds. It is possible to mark flat parallel lines, to create accurate symmetric design of a flower bed only by means of geometrical formulas. At measurement of a long distance it is not obligatory to pull a roulette — it is possible just to measure a corner from the next column or a wall and, knowing a formula of tangents or sine, to calculate distance. Usually surveyors are engaged in it. Cosines and sine are necessary also to electricians, for example, with their help it is possible to calculate on how many current through certain time will change. Without them it is impossible to draw to divide a circle on equal sectors — it the ability can it is useful in various areas of life, from drawing and design to a raskraivaniye of fabric or construction materials. In general, trigonometrical functions are necessary generally to engineers and scientists. With their help all modern achievements of the equipment — tablets and smartphones, computers and "smart" household appliances were created. In usual life they are required seldom, generally to help the grown-up children to prepare homeworks. Nevertheless, studying trigonometry is extraordinary useful for a brain — search of the necessary formulas, transformation of some elements in others forces crinkles to strain, and the brain will be more mobile all life. After trigonometrical tasks the attempt in shop of other country to transfer rubles to dollars and then to local currency, to subtract a percentage discount (and all this without calculator as village phone charging) and at the same time to compare to the prices in three previous shops will be a children's game.