Each of the 59 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs.
The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?
The the number of students who sign up for all three clubs = 6
The total number of students in the class is given by:
Total number of students= Number of students in poetry club+Number of students in history club+Number of students in writing club-Number of students in exactly 2 clubs-2×Number of students in all the three clubs.
The trigonometry ratio that we shall use to solve the question will be: tan θ=opposite/adjacent where: opposite=8.9 cm adjacent =x cm θ=55° plugging the values and simplifying we obtain: tan 55=8.9/x thus x=8.9/tan55 x=6.23 cm~6.2 cm Answer: A