To Do, I-Re..
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Answer:
see explanation
Step-by-step explanation:
(1)
the sine of an angle =
(a)
here the opposite is 12 and the hypotenuse is 13
12 is the side opposite ∠DEF ← required angle
(b)
the tangent of an angle =
here the opposite is 5 and the adjacent is 12
∠DFE ← required angle
(2)
to calculate AB use Pythagoras' identity in the right triangle
AB² = 2² + 3² = 4 + 9 = 13, hence
AB = ≈ 3.6 ( to nearest tenth )
tanB = ⇒ B = 33.7°
tanA = ⇒ A = 56.3°