# plane and spherical trigonometry

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a farmer has a triangular garden with two sides at right angles and the third side measuring 380 (feet long.)Find the perimeter of the garden if the angle between the shaded side and the longest side is 52(degrees)

• plane and spherical trigonometry -

If the other sides are a and b,
a/380 = sin 52°
b/380 = cos 52°

p = 380 + a + b
= 380(1 + sin52° + cos52°)

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