Answer :

(A) The distance from point A to point B to the nearest tenth of a foot will be 3.4 ft.

(B)  The value of 0 to the nearest tenth of a degree will be 54.8°

SOH, CAH, and TOA are the trigonometry ratios that need to be solved in order to find necessary measures or angles in a right triangle.

A) Reference angle  = 28 degrees

Distance  A-B = ?

Adjacent = 3 ft

We will calculate the distance between A-B by using the trigonometry function, CAH, that is:

   Cos ∅ = adj ÷ hyp

   Cos 28° = 3 ÷ A-B

   A-B = 3 ÷ Cos 28°

  A-B = 3.4 ft

B) Reference angle  = ?

Distance  A-B = 5.2 ft

Adjacent = 3 ft

We will calculate the distance between A-B by using the trigonometry function, CAH, that is:

   Cos ∅ = adj ÷ hyp

Put the values

   Cos ∅ = 3 ÷ 5.2

   ∅ = Cos⁻¹ (3 ÷ 5.2)

   ∅ = 54.8°

To know more about Trigonometry Function:

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