Find the exact value of \( s \) in the given interval that has the given circular function value. Do not use a calculator.
\( [ \frac { 3 \pi } { 2 } , 2 \pi ] ; \sin s = - \frac { \sqrt { 3 } } { 2 } \)
\( s = \square \) radians (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression.)
\(\frac{5\pi }{3}\)
Jason places a mirror on the ground \( 40 \) feet from the base of a tree. He walks backward until he can see the top of the tree in the middle of the mirror. At that point, Jason's eyes are \( 6 \) feet above the ground and he is \( 8 \) feet from the image in the mirror. Wha] is the height of the tree? A. \( 30 \) feet B. \( 32 \) feet C. \( 53 \) feet D. \( 46 \) feet
A. \( 30 \) feet
B. \( 32 \) feet
C. \( 53 \) feet
D. \( 46 \) feet
A \( 10 \) foot ladder is leaning against a building. The ladder makes a \( 45 \) degree angle with the building. How far up the building does the ladder reach?
A. \( 5 \sqrt { 2 } \) feet
B. \( 20 \sqrt { 2 } \) feet
C. \( 10 \sqrt { 2 } \) feet
D. \( 5 \) feet
