mathematics
chrishtiian:

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 ago
chrishtiian:

8 months ago
Vocaloid:

notice 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 ago
chrishtiian:

would it be COS?

8 months ago
chrishtiian:

wait no, TAN

8 months ago
Vocaloid:

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

8 months ago
chrishtiian:

Would it be 25.17298894 so I would round that to 25.17?

8 months ago
Vocaloid:

notice 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 ago
chrishtiian:

so B. 3 tan 50°?

8 months ago
Vocaloid:

good

8 months ago
chrishtiian:

because you would multiply them to move the 30 to the other side

8 months ago
chrishtiian:

Yay thank you!

8 months ago