(Solved): \( 004( \) part 1 of 2 ) \( 10.0 \) points The cartesian coordinates of a point in the \( x y \) pl ...

\( 004( \) part 1 of 2 ) \( 10.0 \) points The cartesian coordinates of a point in the \( x y \) plane are \( x=-4.22 \mathrm{~m}, y=-4.63 \mathrm{~m} \). Find the distance \( r \) from the point to the origin. Answer in units of \( \mathrm{m} \). 001 10.0 points A high fountain of water is located at the center of a circular pool as in the figure. A student walks around the pool and estimates its circumference to be \( 160 \mathrm{~m} \). Next, the student stands at the edge of the pool and uses a protractor to gange the angle of elevation of the top of the fountain to be \( 43.2^{\circ} \). How high is the fountain? Answer in units of \( \mathrm{m} \).