Refer to the following diagram for the roof of a house. In the figure, x is the length of a rafter measured from the top of a wall to the top of the roof; e is the acute angle between a rafter and the horizontal; and h is the vertical distance from the top of the wall to the top of the roof. Suppose that e = 31° and h = 32.5 ft. (a) Determine x. Round the answer to one decimal place. ft (b) Find the area of the gable. Round the final answer to one decimal place. [The gable is the triangular region bounded by the rafters and the attic floor.] ft2

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.