Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole as shown below.

Question

anonymous · Answer

attachment

anonymous · Answer

6.59

anonymous · Answer

6.59, use the tan rule... 9*tan 60 - 9*tan 45

anonymous · Answer

Thank you<3

mathmale · Answer

That 45 degree angle really simplifies part of the solution to this problem.

If the measurement of angle CDB is 45 degrees, then the side of the triangle opposite that angle equal to the adjacent side.  In other words, since side CD is 9 feet, side BC is also 9 feet.  It would help a great deal to re-draw this diagram so that it's to scale; right now it is NOT to scale.

Use the 30-60-90 triangle and principles of similar trianges to determine the length of side  AC.  

Then AB=AC-BC.

anonymous · Answer

ohh...NOONE HERE THOUGHT OF THAT....mathmale...
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Oh jk that's how we did the question

mathmale · Answer

Good morning / good afternoon / good evening to you, Arqum, wherever you are.  Seeing that you've thought of that, how about demonstrating your solution to this problem in words and equations?

anonymous · Answer

BUUUURN. nice one bro ;)

anonymous · Answer

OMG...its u i forgot ur name...sorry

mathmale · Answer

Gotcha!  ;)

mathmale · Answer

Nothing to be sorry about.  But the joke's on you this time.