Question

Par 3 find the missing sides for the 30 60 90 triangles. Please show work for each.​

Answer 1

7

tan(60) = h/40

h = 40 x tan(60)

h = 40√3

cos(60) = 40/r

r = 40/cos(60)

r = 80

8.

tan(60) = p/82

p = 82 x tan(60)

p = 82√3

cos(60) = 82/t

t = 82/cos(60)

t = 164

9.

tan(60) = 22√3 /x

x = 22√3 /tan(60)

x = 22

sin(60) = 22√3 /k

k = 22√3 / sin(60)

k = (20/3)√3