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 .