Magicalpig101
Magicalpig101 Magicalpig101
  • 23-04-2018
  • Mathematics
contestada

What is the length of the line AB

a. 8
b. 8.3
c. 6.6
6. 9.7

What is the length of the line AB a 8 b 83 c 66 6 97 class=

Respuesta :

calculista
calculista calculista
  • 21-05-2018
we know that
in the right triangle ACD
Applying the Pythagoras theorem
AC²=AD²+CD²------> AD²=AC²-CD²-----> AD²=5²-4²---> AD²=9----> AD=3

let
∅=angle CAD
tan ∅=4/3 

in the right triangle CDB
the angle DCB is equal to ∅
tan ∅=DB/CD-------> DB=CD*tan ∅------> DB=4*(4/3)----> DB=16/3

AB=AD+DB-----> 3+16/3----> AB=25/3----> AB=8.33

the answer is
b. 8.3
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