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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