A 10-Meter Line Is Used to Tether a Helium-Filled Balloon $\theta$

question 19

Multiple Choice

A 10-meter line is used to tether a helium-filled balloon.Complete the table,which shows the heights (in meters) of the balloon for decreasing angle measures $\theta$ .(Round your answers to one decimal places. ) $$\begin{array} { | c | c | c | c | c | c | } \hline \text { Angle, } \theta & 50 ^ { \circ } & 40 ^ { \circ } & 30 ^ { \circ } & 20 ^ { \circ } & 10 ^ { \circ } \\\hline \text { Height } & & & & & \\\hline\end{array}$$

• A) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \text { Angle, } \theta & 50 ^ { \circ } & 40 ^ { \circ } & 30 ^ { \circ } & 20 ^ { \circ } & 10 ^ { \circ } \\
• \hline \text { Height } & 5.7 & 6.4 & 5 & 3.4 & 1.7 \\
• \hline
• \end{array}\]
• B) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \text { Angle } , \theta & 50 ^ { \circ } & 40 ^ { \circ } & 30 ^ { \circ } & 20 ^ { \circ } & 10 ^ { \circ } \\
• \hline \text { Height } & 7.7 & 6.4 & 5 & 3.4 & 1.7 \\
• \hline
• \end{array}\]
• C) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \text { Angle, } \theta & 50 ^ { \circ } & 40 ^ { \circ } & 30 ^ { \circ } & 20 ^ { \circ } & 10 ^ { \circ } \\
• \hline \text { Height } & 4.7 & 6.4 & 5 & 3.4 & 1.7 \\
• \hline
• \end{array}\]
• D) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \text { Angle, } \theta & 50 ^ { \circ } & 40 ^ { \circ } & 30 ^ { \circ } & 20 ^ { \circ } & 10 ^ { \circ } \\
• \hline \text { Height } & 3.7 & 6.4 & 5 & 3.4 & 1.7 \\
• \hline
• \end{array}\]
• E) \[\begin{array} { | c | c | c | c | c | c | }
• \hline \text { Angle, } \theta & 50 ^ { \circ } & 40 ^ { \circ } & 30 ^ { \circ } & 20 ^ { \circ } & 10 ^ { \circ } \\
• \hline \text { Height } & 6.7 & 6.4 & 5 & 3.4 & 1.7 \\
• \hline
• \end{array}\]

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