In the figure below, the length of line segment GE is 97radical 3 units and the length of line segment BG is 149 units. What is the length of line segment AC?

Question

anonymous · Answer

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campbell_st · Answer

1st find the length of AG

$$\tan(60) = 97\sqrt{3}/AG$$

$$AG = 97\sqrt{3}/\tan(60)$$

AG = 97

then  BA = 149 - 97

BA = 52

Lastly to find the length of CA

$$\cos(45) = 52/AC$$

$$AC = 52/\cos(45)$$

Leave your answer in surd form as information in the
question was in this form. then 

$$AC = 52\sqrt{2}$$