Question

Surds and indices
Fig 2.1 shows the vertical cross section of a roof of a building as a right angled triangle ABC with AB=15m. the height of the roof BD is 10m calculate x and y

Answer 1

starting with triangle ADB by pythagoras theorm
z^2+10^2=15^2
z^2=225-100
z^2=125
z=5(5)^1/2
@UnkleRhaukus Similar triangles?

Answer 2

looks good so far

Answer 3

what theorem will you used to show they are similar, they share a common side, and a common angle

Answer 4

exactly :)
AC/AB
BC/BD
AB/AD

Answer 5

so we should flip triangle ADB

Answer 6

to make side AB horizontal

Answer 7

i get it now, thanks for your time and help @UnkleRhaukus :)

Answer 8

*

Answer 9

where is x on the diagram ? is it DC ?

Answer 10

no its AC i forgot to mention that