thewhaleshark
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Question 4: Shown is a cuboid.
(a) Work out the size of angle GEH
(b) Work out the size of angle CHG
(c) Work out the length EG
(d) Work out the size of angle CEG
A
B
F
D
C
4d
3cm
H
7cm

please I'm suffering so hard with this question​

Question 4 Shown Is A Cuboida Work Out The Size Of Angle GEHb Work Out The Size Of Angle CHGc Work Out The Length EGd Work Out The Size Of Angle CEGABFDC4d3cmH7 class=

Sagot :

hninpapawadisoe09

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 )

View image hninpapawadisoe09
View image hninpapawadisoe09
View image hninpapawadisoe09
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