Použitie goniometrických funkcií v praxi
[{"question":"V pravouhlom trojuholn\u00edku s odvesnami a = 4 cm a b = 10 cm vypo\u010d\u00edtaj ve\u013ekos\u0165 uhla oproti krat\u0161ej odvesne.","answers":["22\u00b050\u00b4","22\u00b040\u00b4","25\u00b020\u00b4","24\u00b020\u00b4"],"correct":"22\u00b050\u00b4","order":"1"},{"question":"V rovnoramennom trojuholn\u00edku m\u00e1 uhol pri z\u00e1kladni 65\u00b0 a z\u00e1klad\u0148a je dlh\u00e1 42 mm. Vypo\u010d\u00edtaj v\u00fd\u0161ku na z\u00e1klad\u0148u.","answers":["55 mm","45 mm","54 mm","44 mm"],"correct":"45 mm","order":"2"},{"question":"Priama \u017eelezni\u010dn\u00e1 tra\u0165 m\u00e1 st\u00fapanie 16\u2030. Ak\u00fa ve\u013ekos\u0165 m\u00e1 st\u00fapanie trate?","answers":["55\u00b010\u00b4","1\u00b055\u00b4","55\u00b4","55\u00b0"],"correct":"55\u00b4","order":"3"},{"question":"Pod ak\u00fdm uhlom st\u00fapa lanovka z dolnej stanice do hornej, ak m\u00e1 d\u013a\u017eku 2070 m a prekon\u00e1va v\u00fd\u0161kov\u00fd rozdiel 428 m?","answers":["22\u00b0","11\u00b0","21\u00b0","12\u00b0"],"correct":"12\u00b0","order":"4"},{"question":"Schod m\u00e1 v\u00fd\u0161ku 20 cm a \u0161\u00edrku 35 cm. V akom uhle st\u00fapa schodi\u0161te?","answers":["20\u00b0","33\u00b0","3\u00b0","30\u00b0"],"correct":"30\u00b0","order":"5"},{"question":"Z\u00e1kladne rovnoramenn\u00e9ho lihobe\u017en\u00edka maj\u00fa d\u013a\u017eky 9,5 cm a 5,5 cm. Jeho ramen\u00e1 zvieraj\u00fa s dlh\u0161ou z\u00e1klad\u0148ou uhol 36\u00b0. Vypo\u010d\u00edtajte obvod lichobe\u017en\u00edka (zaokr\u00fahli na jedno desatinn\u00e9 miesto).","answers":["16 m","21 m","20 m","19,2 m"],"correct":"20 m","order":"6"},{"question":"Z\u00e1kladne rovnoramenn\u00e9ho lihobe\u017en\u00edka maj\u00fa d\u013a\u017eky 9,5 cm a 5,5 cm. Jeho ramen\u00e1 zvieraj\u00fa s dlh\u0161ou z\u00e1klad\u0148ou uhol 36\u00b0. Vypo\u010d\u00edtajte obsah lichobe\u017en\u00edka (zaokr\u00fahli na jedno desatinn\u00e9 miesto).","answers":["13.1","11.3","11.2","12.1"],"correct":"11.3","order":"7"},{"question":"Obd\u013a\u017enik m\u00e1 strany dlh\u00e9 b = 7 cm. Uhol strany AB a uhloprie\u010dky AC je 30\u00b0. Ak\u00fa ve\u013ekos\u0165 m\u00e1 uhloprie\u010dka?","answers":["14","3.5","5","20"],"correct":"14","order":"8"},{"question":"Obd\u013a\u017enik m\u00e1 strany dlh\u00e9 b = 7 cm. Uhol strany AB a uhloprie\u010dky AC je 30\u00b0. Ak\u00fa ve\u013ekos\u0165 m\u00e1 strana a?","answers":["12.12","11.22","21.21","22.11"],"correct":"12.12","order":"9"},{"question":"Zrnomet je vzdialen\u00fd 4,5 m od s\u00fdpky. R\u00fary zrnometu zvieraj\u00fa so zemou uhol 50\u00b0. Ak\u00e9 dlh\u00e9 s\u00fa r\u00fary? Ako vysoko je od zeme okno s\u00fdpky?","answers":["9,6 m a 3,5 m","6,9 m a 3,5 m","9,6 m a 5,3 m","6,9 m a 5,3 m"],"correct":"6,9 m a 5,3 m","order":"10"}]