Question

(NEED HELP ASAP)

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

Answer 1

0.48

Explanation:

By the law of sines, the ratio of the sides of a triangle to the sine of the angles opposite the side must be the same

Therefore

`(EG)/(\sin90) =( FG)/(\sin E)\\\\\\(√(69))/(\sin 90) = (4)/(\sin E)}\\\\\\\sin 90 = 1\\\\(√(69))/(1) = (4)/(\sin E)\\\\√(69) = (4)/(\sin E)\\\\\sin E = (4)/(√(69))\\\\\\= 0.481543\\\\= 0.48 \text{ rounded to the nearest hundredth}`