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Isabella has just skied down a steep slope and is gliding across level snow at \( 12 \mathrm{~m} / ...
Isabella has just skied down a steep slope and is gliding across level snow at \( 12 \mathrm{~m} / \mathrm{s} \) when she approaches a \( 3.0^{\circ} \) incline packed with very slippery snow. How high up the incline does she glide before stopping? Figure Known: \( x_{0}=0 \mathrm{~m}, v_{0 \mathrm{x}}=12 \mathrm{~m} / \mathrm{s}, t_{0}=0 \mathrm{~s} \quad \) Find: \( h \) \[ \begin{array}{l} v_{1 x}=0 \mathrm{~m} / \mathrm{s}, \theta=3.0^{\circ} \\ a_{x}=-g \sin \theta \end{array} \]
A complete pictorial representation is shown in Notice that \( h \) has been identified as what we're trying to find, the unknown that will answer the question. How high up the incline does Isabella glide before stopping? Express your answer with the appropriate units.