The side of the rhombus is 241m, and the height is 120m. Find the corners.
| June 15, 2021 | education
Data: a – rhombus side, hypotenuse (a = 241 m); h – rhombus height, larger leg (h = 120 m).
1) Find an acute (smaller) angle: α = arcsin (h / a) = arcsin (120/241) ≈ 29.86º = 29º 51 ’46’ ‘.
2) Find the larger (obtuse) angle: β = 90º + arccos (h / a) = 90º + arccos (120/241) ≈ 150.14º = 150º 8 ’14’ ‘.
Check: 180º = α + β = 29.86º + 150.14º = 180º (correct).
Answer: The angles of the rhombus are 29º 51 ’46’ ‘and 150º 8’ 14 ”.
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