Question

A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet.

a. Find the length of the side of the lot opposite the 60° angle.

Answer 1

Well, \[\sin \theta=\frac{ opposite }{ hypotaneuse }\] Since you know what sin(30) is and what the opposite equals, you can use that to find the length of the hypotaneuse.

Then you can use \[\cos \theta=\frac{ adjacent }{ hypotaneuse }\] where you know Cos(30) and the hypotaneuse. This will give you the value you seek.

Answer 2

yeah I got that but I am coming up with 82

Answer 3

I'm getting 82 for the hypotaneuse.

Answer 4

okay, then I must be on the right track just it is getting a little jumbled

Answer 5

so would the sine be o.5

Answer 6

Mhm, sin(30)=1/2

Answer 7

no no 0.5000

Answer 8

sorry

Answer 9

I'm sorry, I'm not sure what you mean. You're asking if sin(30)=.5?

Answer 10

a. The side opposite the 60° is 71.0141 feet

b. The hypotenuse is 82 feet

c. sin(30)=0.5000

cos(30)=0.8660

tan(30)=0.5773

Answer 11

Yes, that's right.

Answer 12

just wasn't sure

Answer 13

thank you