What are the lengths of the legs of a triangle in which one acute angle measures 19 degrees and the hypotenuse is 15 units long?

Question

Mathematics

Fernanda Davila

14 November, 12:10

What are the lengths of the legs of a triangle in which one acute angle measures 19 degrees and the hypotenuse is 15 units long?

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Answers (1)

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Ronnie Stanton · Answer 1

Sin (19°) = side a / 15

side a = 15 * sin (19°)

side a = 15 * 0.32557

side a = 4.88355

side b^2 = 15^2 - 4.88355^2

side b^2 = 225 - 23.8490606025

side b^2 = 201.15

side b = 14.18