3. A balloon rises at \( 5 \mathrm{~m} / \mathrm{s} \) while a cyclist rides at \( 10 \mathrm{~m} / \mathrm{s} \) directly beneath it. When the balloon is 50 m high and the cyclist is 20 m away horizontally, how fast is their straight-line distance changing? a) \( 5 \div \sqrt{29} \mathrm{~m} / \mathrm{s} \) b) \( -5 \mathrm{~m} / \mathrm{s} \) c) \( \sqrt{ }\left(5^{2}+2.5^{2}\right) \mathrm{m} / \mathrm{s} \) d) \( (10 \times 20) \div \sqrt{ }\left(50^{2}+20^{2}\right)-5 \mathrm{~m} / \mathrm{s} \)
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- The balloon rises at \(5 \, \text{m/s}\). - The cyclist rides at \(10 \, \text{m/s}\). - The balloon is \(50 \, \text{m}\) high. - The cyclist is \(20 \, \text{m}\) away horizontally. Show more…
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