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lizzie177
Jun 9, 2007, 06:10 PM
:confused: :confused: :confused: Hello. I have a couple questions on trigonometry, and if u could help me, then I would greatly appreciate it :)

1) The diagonal of a rectangle is 12 cm long and makes an angle of 32 degrees with the longer side. Find the longer side of the rectangle.

2) A guy wire supports a TV tower 50m tall. It joins the top of the tower to an anchor point 25m from the base. Find the length of the wire and the angle it makes with the ground.


Thank you very much,
Lizzie

Stratmando
Jun 9, 2007, 06:45 PM
Problem 1: 12/1.118034= 10.73313 cm This is a guess.


Problem 2: 50X50= 2500
25X25= 625
3125

Square root of 3125 is 55.901699 meters.
No math, but this looks like about 32 degrees

galactus
Jun 10, 2007, 08:35 AM
#1. 12cos(32)=length of long side of rectangle.

#2a. \sqrt{50^{2}+25^{2}}=length of guy wire.

#2b. cot^{-1}(25/50)=angle with ground.

Stratmando
Jun 10, 2007, 09:15 AM
Hey Galactus, Hope all is well. I respect your knowledge in math. I'm 50 and used crude
Math to Figure out. What is the accurate answer for the 2 problems. I am curious how far off I am. Thanks and Take Care

galactus
Jun 11, 2007, 03:39 PM
What is the accurate answer for the 2 problems.

You can run them through a calculator to see. They're all set up.