In right triangle XYZ, ∠Z is a right angle, m∠Y=16∘, and XZ=7. sin16∘≈0.276 cos16∘≈0.961 tan16∘≈0.287. What is the measurement of YZ?

24.4

Step-by-step explanation:

So lets review a bit about sine, cosine, and tangent.

Look at attachment below

Okay so we have the opposite side of the triangle and are trying to find the length of the adjacent side. The only trig expression that contains both opposite and adjacent is tangent. The equation goes

tanX = opposite(XZ)/adjacent (YZ)

we know what X is X = 16

and we know what opposite is opposite = 7

so now the equation looks like

tan16 = 7/adjacent

and in the question it says that tan16 = 0.287 so lets plug that in

0.287 = 7/adjacent

0.287adjacent = 7

adjacent = 7/0.287

adjacent = 24.4

YZ = 24.4

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !