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Category: Coordinate Geometry

Question-42863

Question Number 42863 by ajfour last updated on 03/Sep/18 Commented by ajfour last updated on 04/Sep/18 $${The}\:{two}\:{parabolas}\:{have}\:{a}\:{common} \\ $$$${vertex}\:{and}\:{have}\:{the}\:{same}\:{distance} \\ $$$${from}\:{vertex}\:{to}\:{focus}\:'\boldsymbol{{a}}'. \\ $$$${Find}\:{the}\:{angle}\:\boldsymbol{\theta}\:{between}\:{their} \\ $$$${axes}\:{if}\:{their}\:{branches}\:{that}\:{are}…

A-boy-lying-flat-on-level-ground-sees-a-bird-on-a-tree-and-the-angle-of-Elevation-from-the-boy-to-the-birth-is-42-if-the-boy-is-6m-from-the-tree-find-the-hieght-of-the-tree-if-the-bird-is-at-the-top

Question Number 42698 by Rio Michael last updated on 31/Aug/18 $${A}\:{boy}\:{lying}\:{flat}\:{on}\:{level}\:{ground}\:{sees}\:{a}\:{bird}\:\:{on}\:{a}\:{tree}\:{and}\:{the} \\ $$$${angle}\:{of}\:{Elevation}\:{from}\:{the}\:{boy}\:{to}\:{the}\:{birth}\:{is}\:\mathrm{42}°,{if}\:{the}\:{boy} \\ $$$${is}\:\mathrm{6}{m}\:{from}\:{the}\:{tree}.{find}\:{the}\:{hieght}\:{of}\:{the}\:{tree}\:{if}\:{the}\:{bird} \\ $$$${is}\:{at}\:{the}\:{top}\:{of}\:{the}\:{tree} \\ $$ Answered by math1967 last updated on…

Question-42624

Question Number 42624 by ajfour last updated on 29/Aug/18 Commented by ajfour last updated on 29/Aug/18 $${The}\:{smaller}\:{circle}\:{has}\:{radius}\:\boldsymbol{{r}}. \\ $$$${The}\:{two}\:{parabolas}\:{are}\:{reflection} \\ $$$${of}\:{one}\:{another}\:{in}\:{x}-{axis}. \\ $$$${Equation}\:{of}\:{upper}\:{parabola}\:{is} \\ $$$$\:{y}={ax}^{\mathrm{2}}…