California Pre-Algebra, 2008
27

 PAGE: 498 SET: Exercises PROBLEM: 27

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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