Answer and Step-by-step explanation:
4 a) tan (∠GEH) = [tex]\frac{Opposite}{Adjacent}[/tex]
= [tex]\frac{3}{7}[/tex]
∠GEH = [tex]tan^{-1} (\frac{3}{7} )[/tex]
= 23.2 ( 3 significant figures )
b) tan (∠CHG) = [tex]\frac{Opposite}{Adjacent}[/tex]
=[tex]\frac{4}{3}[/tex]
∠CHG = [tex]tan^{-1} (\frac{4}{3})[/tex]
= 53.1 ( 3 s.f )
c) [tex]EG^{2} = EH^{2} + GH^{2}[/tex] (pythagoras theorem)
[tex]EG^{2} = 7^{2} +3^{2}[/tex]
EG = [tex]\sqrt{58}[/tex] cm or 7.62 cm ( 3 s.f )
d) tan (∠CEG) = [tex]\frac{Opposite}{Adjacent}[/tex]
= [tex]\frac{4}{\sqrt{58} }[/tex]
∠CEG = [tex]tan^{-1} (\frac{4}{\sqrt{58} } )[/tex]
= 27.7 ( 3 s.f )
