"angel from the vertikal" ????????... me assume yu look DOWN tuward senter av erth & then tern 0.276 deg... tu see the horizon... Yu need tu bild a pik in yer mind...erth from side is a big serkel... yu make triangel bi send 2 raes from senter av erth... sae 1 go vertikal up, then yu hav 90deg angel theer=tangent tu erth surfus... other rae from senter av erth gotu yer Ie...500 miles abuv erth & a... long wae from the tangent point. Yu hav rite triangel with 1 angel=60.276 deg... angel at senter av erth=90-60.276 =29.724 deg ... diagonal leng=erth radius+500 mile, kall it R+500 ... base av triangel=erth radius=R... R=(R+500)kosine(29.724 deg) ... r/(r+500)=0.868423901... r=0.868423901(r+500)... r(1-0.868423901)=500*0.868423901... 0.131576099r=434.2119505... r=434.2119505/0.131576099... r=3300 miles