contestada

ABC is a right-angled triangle.
Given that cos x = 3/4 and that the length of the side adjacent to the angle x is 9 cm,
work out the length of the hypotenuse.

Respuesta :

sandlanasandlana839

Answer:

  1. cosx=3/4
  2. x=41,41

  1. cosx=adjacent/hypotenuse
  2. cos41,41=9/hypotenuse
  3. hypotenuse=9/Cos41,41
  4. hypotenuse=9/Cos41,41
  5. =12 cm
retirEEd

Answer:

Step-by-step explanation:

        cosФ = adjacent / hypotenuse

        cosФ =  3/4   =    adj / hyp              adjacent side = 9 cm

                     3 / 4  =   9 / hyp                solve for hyp

                     4 / 3  =   hyp / 9               i just inverted both sides they are still =

                                                              a simple example     1/2 = 1/2      2 = 2

                     9 (4/3) = 9 (hyp/9)           multiply both sides by 9

                         12    =  hyp                   doing the math