Geometry and Trigonometry Calculations: Determining Lengths and Angles of Triangles - Prof, Exams of Geology

Download Geometry and Trigonometry Calculations: Determining Lengths and Angles of Triangles - Prof and more Exams Geology in PDF only on Docsity! d0 = 1.1cm di = −10.4cm 1 d0 + 1 di = 1 f , f = dido di + do = R 2 ⇒ R = 2.46cm m = − di do = 10.4 1.1 = 9.45 tan(θr ) = L D n1 sin(90  ) = n2 sin(tan −1(L / D)) n2 = 1 sin(tan−1(L / D)) = 1.365 m = − di do = hi ho ⇒−di = m ⋅do = do hi ho 1 f = 1 do + 1 di ⇒−di = fdo f − do ⇒ fdo f − do = hi ho do ⇒ hi = ho f f − do = −1.8cm m = 0.25m ⋅ L fo fe fe = 25cm ⋅ 36.1cm 120 ⋅ 3.3cm = 2.279cm di1 = fdo do − f = −6.875cm -> virtual! do2 = 19cm+ | −6.875cm |= 25.875cm di2 = fdo2 do2 − f = 71.5 -> real since >0! (Answer  to  10.)   m = − di1 do1 ⋅ − di2 do2 ⎛ ⎝⎜ ⎞ ⎠⎟ = 6.875 10 ⋅ − 71.5 25.875 ⎛ ⎝⎜ ⎞ ⎠⎟ = −1.9 hi = −1.9 ⋅ 4cm = −7.6cm (<0, meaning inverted!) (Answer  to  11.)