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Answer:

#1

Ratio of 45-45 and 30-60-90 triangles

45-45

  • a : b : c = 1 : 1 : √2

30-60-90

  • a : b : c = 1 : √3 : 2

a)  

  • b = 10/2 = 5
  • a = 5√3

b)

  • k = l = 6√2/√2 = 6

#2

Find x

  • 7/x = cos 66°
  • x = 7/ cos 66°
  • x = 17.2

Find y

  • y/x = sin 66°
  • y = 17.2 sin 66°
  • y = 15.7

#3

a) sin A = 5/13

b) cos A = 12/13

c) tan A = 5/12

d) A = arcsin (5/13) = arccos (12/13) = arctan (5/12) = 22.6°

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