Question

The supporting pole of a camping tent is the altitude to the hypotenuse of the right triangle ABC.
What is height of the pole?

Answer 1

... using AA test

Answer 2

AA test?

Answer 3

\[\large \triangle ABC \sim \triangle DBA\]
\[\therefore {AB \over BC}={BD \over AB}\]
if h is the pole height ...\[\large AB=\sqrt{BD^2+h^2}=\sqrt{64^2+h^2}\]

Answer 4

you have the rest ... solve for h

Answer 5

AA test = Angle-Angle theorem of similarity

they have one common angle and one Right angle (in each)

Answer 6

do you follow ... wha answer do you get?

Answer 7

sorry been washing dishes too. Ill start it right now

Answer 8

\[AB=\sqrt{64^{2}+h ^{2}}= \sqrt{64^{2}+h ^{2}}\] ?

Answer 9

god that took forever to type lol

Answer 10

put that\((\sqrt{64^{2}+h ^{2}})\) in the equation you get from the similarity:\[ {AB \over BC}={BD \over AB}\]
which can be re-witten as: \[AB^2=BC \times BD\]

then solve for h:

Answer 11

what do you get?

Answer 12

try solving that ratio for h...