What is the angle needed to solve this right triangle?

  • #1
nmnna
22
3
Homework Statement
In figure cm. Calculate and
Relevant Equations
The Figure
1616228240588.png

My Attempt at Solution

cm
Similarly
cm
After this I checked the answer in my textbook, and instead of 6.43cm the answer for was 4.40cm.
I thought that there was a typo in the problem, so instead of , I tried , and surprisingly the answer matches with the one in the textbook.
So I'd like to know if it really is a typo or my solution is wrong.
And I can't find the angle required in the problem, so I'd be grateful if you give me some hints for finding this angle.
 
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  • #2
nmnna said:
Homework Statement:: In figure ##\angle{ABC} = 90^\circ = \angle{BCD}, \ \angle{BCD} = 41.45^\circ,
You have angle twice there. Please clarify.
 
  • #3
PeroK said:
You have angle twice there. Please clarify.
It should be
 
  • #4
nmnna said:
So I'd like to know if it really is a typo or my solution is wrong.
And I can't find the angle required in the problem, so I'd be grateful if you give me some hints for finding this angle.
Looks like a typo.

A hint to find the angle . First extend the line to a new point, , so that is a right angle. Then you have another angle equal to .
 
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  • #5
Your work is correct starting with the numbers you were given.
 
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