Question

In the figure below, the length of CB is 58 units and the length of BG is 120 units. What is the length of GE?



62 square root 3

116

58 square root 2

124

Answer 1

@hba @jim_thompson5910

Answer 2

Hint:

First find BA


Let x = length of BA


tan(45) = 58/x


x*tan(45) = 58


x = 58/tan(45)


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Now subtract this from 120 to find AG


Then take that last result and use it to find GE

Answer 3

would the answer me 52 square root of 2?

Answer 4

what did you get for BA

Answer 5

58

Answer 6

so AG = 120 - 58 = 62

Answer 7

so...

tan(60) = y/62

where 'y' is the length of GE

Answer 8

oh so it would be 62 square root of 3

Answer 9

you are 100% correct


\[\Large \tan(60) = \frac{y}{62}\]


\[\Large 62\tan(60) = y\]


\[\Large y=62\tan(60)\]


\[\Large y=62\sqrt{3}\]