The picture below shows a right-triangle-shaped charging stand for a gaming system: The side face of a charging stand is a right triangle labeled ABC. The measure of angle ACB is 90 degrees and the measure of angle ABC is 50 degrees. Side B C measures 3 inches. Which expression shows the height, AC, of the charging stand? 3 divided by cos 50 degrees 3 tan 50° 3 divided by tan 50 degrees 3 cos 50°

8 months agonotice you are given the angle, and the adjacent side, then asked to find the opposite side which trig ratio (sin, cos, or tan) involves the adjacent and opposite sides?

8 months agowould it be COS?

8 months agowait no, TAN

8 months agogood, tan so tan = opposite/adjacent plugging in the values gives us tan(50) = AC/3 solve for AC

8 months agoWould it be 25.17298894 so I would round that to 25.17?

8 months agonotice how the answer choices are given in terms of the trig ratios so you don't need to use a calculator to figure out the decimal value tan(50) = AC/3 you just need to multiply both sides by 3 and then see which answer choice matches

8 months agoso B. 3 tan 50°?

8 months agogood

8 months agobecause you would multiply them to move the 30 to the other side

8 months agoYay thank you!

8 months ago