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27

Step-by-step Answer
PAGE: 498SET: ExercisesPROBLEM: 27
Please look in your text book for this problem Statement

In , the measure of  is and .

To find: b.

1.                      (Use pythagorean theorem)

                    (Substitue: )

               (Square: )

(Subtract to each side)

                                (Subtract: )

                             (Square root to each side)

                                     (Square root: )

2.                (Definition of tangent ratio)

                (Substitue: )

              (Substitue: )

(Multiply to each side)

          (Cancel common terms)

                  (Multiply: )

.

3.              (Definition of sine ratio)

              (Substitue: )

             (Substitue: )

 

(Multiply to each side)

 

         (Cancel common terms)

 

                 (Multiply: )

.

 

4. Find .

               (Definition of cosine ratio)

 

            (Substitue: )

 

            (Substitue: )

 

(Multiply to each side)

 

        (Cancel common terms)

 

                (Multiply: )

.

 

The value of b is .



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