Isabella is making a huge flag of her country, the Republic of Seychelles, on a canvas 20 by 10 meters long. To do that, she has to draw a diagonal that begins at the bottom-left corner and ends at the right side of the flag, at a height of 7 meters. Since the ends of the diagonal are too far to put a ruler between them, Isabella wanted to find the angle of the diagonal and draw it using a protractor. Explain how to label the triangle with “opposite”, “adjacent” and “hypotenuse” in reference to the angle of interest. Describe which trigonometric function will be used to find the angle labeled in the picture and why are you using this function instead of the other ones. Finally, find the measure of the angle. Round your answer to the nearest hundredth.

Amovie producer conducted a survey after the screening of his movie to find out how the film would be received by viewers from different age groups. the columns in the two-way table indicate the numbers of viewers who rated the film on a four-point scale: excellent, good, average, and poor. viewer's age group excellent good average poor marginal totals 16-25 52 42 12 7 113 26-35 33 50 5 9 97 36-45 58 12 28 34 132 which of these observations is supported by the data in the table? note: a rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie. a. the majority of the audience in the 26-35 age group disliked the movie. b. among those who liked the movie, the majority were in the oldest age group. c. among those who disliked the movie, the majority were in the 26-35 age group. d. the majority of the audience in the 16-25 age group liked the movie. e. the majority of the audience from all the age groups disliked the movie