Menu Close

Category: Geometry

Question-9880

Question Number 9880 by sandipkd@ last updated on 12/Jan/17 Answered by bansal22luvi@gmail.com last updated on 12/Jan/17 $${let}\:{the}\:{radius}\:{of}\:{smallest}\:{circle}\:{be}\:{r} \\ $$$${CO}=\left(\mathrm{2}−{x}\right) \\ $$$${C}_{\mathrm{1}} {O}=\left(\mathrm{1}+{x}\right) \\ $$$${C}_{\mathrm{1}} {C}=\mathrm{1}…

From-the-top-of-a-tower-80m-high-a-student-observe-that-the-angle-of-depression-of-the-top-of-a-vertical-pole-A-is-45-and-the-angle-of-depression-of-point-B-on-the-pole-is-60-if-O-is-the-foot-of

Question Number 9813 by tawakalitu last updated on 05/Jan/17 $$\mathrm{From}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{a}\:\mathrm{tower}\:\mathrm{80m}\:\mathrm{high},\:\mathrm{a}\:\mathrm{student} \\ $$$$\mathrm{observe}\:\mathrm{that}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{depression}\:\mathrm{of}\:\mathrm{the}\:\mathrm{top}\: \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{vertical}\:\mathrm{pole}\:\mathrm{A}\:\mathrm{is}\:\mathrm{45}°\:\mathrm{and}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{of}\: \\ $$$$\mathrm{depression}\:\mathrm{of}\:\mathrm{point}\:\mathrm{B}\:\mathrm{on}\:\mathrm{the}\:\mathrm{pole}\:\mathrm{is}\:\mathrm{60}°. \\ $$$$\mathrm{if}\:\mathrm{O}\:\mathrm{is}\:\mathrm{the}\:\mathrm{foot}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pole}\:\mathrm{and}\:\mathrm{OB}\:=\:\mathrm{20m}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}. \\ $$$$\mathrm{leaving}\:\mathrm{your}\:\mathrm{answer}\:\mathrm{in}\:\mathrm{surd}\:\mathrm{form}. \\ $$ Answered…

Question-75329

Question Number 75329 by lalitchand last updated on 10/Dec/19 Answered by $@ty@m123 last updated on 10/Dec/19 $${R}=\frac{{abc}}{\mathrm{4}\bigtriangleup} \\ $$$${where}, \\ $$$$\bigtriangleup=\sqrt{{s}\left({s}−{a}\right)\left({s}−{b}\right)\left({s}−{c}\right)} \\ $$ Terms of…