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FAQs on Some Application of Trigonometry (Exercise 9.1) RD Sharma Solutions - Mathematics (Maths) Class 10

1. What are some practical applications of trigonometry?
Ans. Trigonometry has numerous practical applications in various fields. Some common applications include measuring heights and distances using angles and trigonometric ratios, calculating the trajectory of projectiles, analyzing periodic phenomena like sound and light waves, designing and constructing buildings and bridges, and navigating in land, sea, and air using coordinates and angles.
2. How is trigonometry used in architecture and construction?
Ans. Trigonometry plays a crucial role in architecture and construction. It helps architects and engineers in designing buildings, determining the stability of structures, calculating angles for proper alignment, and estimating the dimensions of various components. Trigonometric functions are also used to analyze the forces acting on structures and ensure their stability and safety.
3. Can trigonometry be used in navigation?
Ans. Yes, trigonometry is extensively used in navigation. By using trigonometric functions, sailors, pilots, and navigators can calculate their position, determine the distance and direction between two points, and plan routes for efficient travel. Trigonometry helps in measuring angles, finding the distance traveled based on angles and speed, and determining the course correction required for accurate navigation.
4. How is trigonometry applied in astronomy?
Ans. Trigonometry is vital in astronomy for measuring distances between celestial bodies, calculating their sizes and positions, and predicting celestial events. Astronomers use trigonometric parallax to determine the distance of stars, trigonometric functions to calculate the angles and positions of celestial objects, and spherical trigonometry to study the geometry of the celestial sphere.
5. What role does trigonometry play in physics?
Ans. Trigonometry is extensively used in physics to analyze and solve problems related to motion, waves, forces, and energy. It helps in calculating distances, angles, velocities, accelerations, and forces acting on objects. Trigonometric functions are used to describe periodic phenomena like sound and light waves, harmonic motion, and electromagnetic oscillations. Trigonometry also plays a significant role in studying the behavior of waves and analyzing their interference and diffraction patterns.
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