A small plane takes off from an airport at an angle of \(31.3^{\circ}\) to the ground. About two-thirds of a mile ( \(3,520 \mathrm{ft}\) ) from the airport is an 1,100-ft peak in the flight path of the plane (Figure 10.153). If the plane continues that angle of ascent, find its altitude when it is above the peak, and how far it will be above the peak.

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31.3 3520 ft Figure 10.153 1100 ft