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Oksi-84 [34.3K]
3 years ago
12

A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet.

Mathematics
1 answer:
Rashid [163]3 years ago
8 0
A) Using the special right triangle ratio for 30-60-90 triangles (which is 1-√3-2, opposite sides of the angles respectively, we can find that the side opposite the sixty degree angle is 41√3.

b) The hypotenuse is the same. Using the ratios, we see that the hypotenuse is 82.

c)sin(30)= opp/hyp = 41/82 = 1/2
cos(30)= adj/hyp = 41√3/82 = √3/2
tan(30)= opp/adj = 41/41√3 = 1/√3 = √3/3

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