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To solve for in the equation , we first need to find the value of using a calculator or trigonometric tables. It approximates to . Rearranging the equation gives . Plugging in the value of , we find that , which gives approximately .
The beauty of trigonometry lies in its endless real-world applications! For instance, architects and engineers use these concepts to calculate heights and distances, like determining the height of a building or the length of a shadow during different times of the day. Whether you’re surveying a plot of land or constructing a stadium, trigonometric ratios are crucial tools in making precise measurements and ensuring structural integrity.