bonjour,
1) SPO rectangle en P
→pythagore
OI² = OP²+IP²
= 100²+46,5²
OI = √12162,25 soit110m arrondi
2) cosiOp = OP/OI = 100/110 ≈0909
iOp = 24° arrondi au °
3) cossOp = OP/OS
sOP = 18+24 = 42°
cos42 = 100/OS
OS = 100/0,713 = 134m arrondi
4) SPO rectangle en P
→pythagore
OS² = OP²+SP²
134² = 100²+SP²
SP² = 134²-100²
SP = √7959 soit 89m arrondi