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Halliday 2 Cap 18 - P18 060

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    December 2018
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60. The altitude H and the horizontal distance x for the legs of a right triangle, so we have H = x tan θ = vp t tan θ = 1.25vt sin θ where v is the speed of sound, vp is the speed of the plane and    v  v −1 θ = sin = 53.1◦ . = sin−1 vp 1.25v Thus the altitude is H = x tan θ = (1.25)(330 m/s)(60 s)(tan 53.1◦ ) = 3.30 × 104 m .