The sides of a rectangular trapezoid are 15 m and 9 m find the cosine of the acute angle of the trapezoid.
September 4, 2021 | education
| Since the trapezoid is rectangular by the condition of the problem, its smaller side will also be its height, sin (α) will be equal to the ratio of the sides: 9: 15 = 9/15. Then the required cos (α) = √ (1 – sin ^ 2 (α)) = √ (1 – 81/225) = √144 / 225 = 12/15.
Answer: the cosine of the desired angle is 12/15.
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