In △ABC, m∠ACB=90°, m∠ACD=60°,
CD
is the altitude to
AB
, and BD = 5 cm. Find AD.

5cm

Step-by-step explanation:

Find the diagram attached.

From ΔBCD, ∠BCD = 90-∠ACD

∠BCD = 90-60

∠BCD = 30°

Also tan60 = CD/BD

tan 60 = CD/5

CD = 5tan60

CD = 5√3 cm

Similarly from ΔACD, tan30 = CD/AD

tan30 = 5√3/AD

AD = 5√3/tan30

AD =  5√3/(1/√3)

AD = 5√3 * √3/1

AD = 5 cm

Hence the length of side AD is 5cm

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.