This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Step 1: Identify the knowns and unknowns in the right-angled triangle. We are given: • An angle = 60^. • The side adjacent to the 60^ angle is 5 m. • The side opposite the 60^ angle is x. • The hypotenuse (opposite the right angle) is y. Step 2: Calculate the value of x using the tangent function. The tangent of an angle in a right-angled triangle is the ratio of the length of the opposite side to the length of the adjacent side. () = OppositeAdjacent Substitute the given values: (60^) = (x)/(5 m) We know that (60^) = sqrt(3). sqrt(3) = (x)/(5 m) Multiply both sides by 5 m to solve for x: x = 5sqrt(3) m The value of x is 5sqrt(3) m. Step 3: Calculate the value of y using the cosine function. The cosine of an angle in a right-angled triangle is the ratio of the length of the adjacent side to the length of the hypotenuse. () = AdjacentHypotenuse Substitute the given values: (60^) = 5 my We know that (60^) = (1)/(2). (1)/(2) = 5 my To solve for y, cross-multiply: 1 · y = 2 · (5 m) y = 10 m The value of y is 10 m. 3 done, 2 left today. You're making progress.