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Sagot :

bonjour

a)dans le triangle HPL rectangle en P on a:

tan(PHL)=PL/PH

tan 40°=PL/4

PL=4xtan(40)≈3.4m

b)dans le triangle FCM rectangle en C on a:

tan(MFC)=CM/CF

tan 33°=CM/5

CM=5xtan(33)≈3.2m

LC=5.5-3.4=2.1m

LM=3.2-2.1=1.1m

c)dans le triangle FCL rectangle en C on a:

tan(CFL)=CL/CF=2.1/5

Arctan(2.1/5)≈23°

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