Answer
The answer is below.
Work Step by Step
Convert the heights as follows:
\[\begin{align}
& \text{4 ft, 9 in = }\left\{ \text{4 ft}\left( \frac{1\text{ m}}{\text{3}\text{.2808 ft}} \right) \right\}+\left\{ \text{9 in}\left( \frac{1\text{ m}}{\text{39}\text{.3701 in}} \right) \right\} \\
& =1.4478\text{ m}
\end{align}\]
\[\begin{align}
& \text{4 ft, 8 in = }\left\{ \text{4 ft}\left( \frac{1\text{ m}}{\text{3}\text{.2808 ft}} \right) \right\}+\left\{ \text{8 in}\left( \frac{1\text{ m}}{\text{39}\text{.3701 in}} \right) \right\} \\
& =\text{1}\text{.4197 m}
\end{align}\]
\[\begin{align}
& \text{5 ft, 1 in = }\left\{ \text{5 ft}\left( \frac{1\text{ m}}{\text{3}\text{.2808 ft}} \right) \right\}+\left\{ \text{1 in}\left( \frac{1\text{ m}}{\text{39}\text{.3701 in}} \right) \right\} \\
& =\text{1}\text{.5494 m}
\end{align}\]
\[\begin{align}
& \text{5 ft, 5 in = }\left\{ \text{5 ft}\left( \frac{1\text{ m}}{\text{3}\text{.2808 ft}} \right) \right\}+\left\{ \text{5 in}\left( \frac{1\text{ m}}{\text{39}\text{.3701 in}} \right) \right\} \\
& =\text{1}\text{.6510 m}
\end{align}\]
\[\begin{align}
& \text{5 ft, 8 in = }\left\{ \text{5 ft}\left( \frac{1\text{ m}}{\text{3}\text{.2808 ft}} \right) \right\}+\left\{ \text{8 in}\left( \frac{1\text{ m}}{\text{39}\text{.3701 in}} \right) \right\} \\
& =\text{1}\text{.7272 m}
\end{align}\]
Calculate the sum of heights as follows:
\[\begin{align}
& \text{Sum of heights = 1}\text{.4478 m + 1}\text{.4197 m}+\text{1}\text{.5494 m}+\text{1}\text{.6510 m}+\text{1}\text{.7272 m} \\
& =\text{7}\text{.7951 m}
\end{align}\]
Heights in \[\left( \text{m} \right)\] are \[\underline{\text{1}\text{.4478 m,} \text{1}\text{.4197 m,} \text{1}\text{.5494 m},\text{1}\text{.6510 m}, and \text{1}\text{.7272 m}}\] The sum of heights is \[\underline{\text{7}\text{.7951 m}}\].