17. 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.
b. Find the length of the hypotenuse of the triangular lot.
c. Find the sine, cosine, and tangent of the 30° angle in the lot. Write your answers as decimals rounded to four decimal places.

Question

17. 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.           
b. Find the length of the hypotenuse of the triangular lot.           
c. Find the sine, cosine, and tangent of the 30° angle in the lot. Write your answers as decimals rounded to four decimal places.

i_kyky · Answer

|dw:1453419869890:dw|
my figuring so far.

anonymous · Answer

Ok so 30-60-90 always follow this pattern
|dw:1453420029796:dw|

anonymous · Answer

What can you draw from that?

i_kyky · Answer

so that would mean that the side opposite of 60 is 41 square root 3? (part a of the question)

i_kyky · Answer

71.01?

i_kyky · Answer

|dw:1453420243154:dw|

anonymous · Answer

Yes, I don't know if your teacher wants in a decimal form but just for reference it's best to leave it just as 41*sqrt(3)

i_kyky · Answer

Okay, then part b is 2x or 2(41) which is 82. correct?

anonymous · Answer

Yup

i_kyky · Answer

Part C: sin 30= 41/82 =0.5000
cos 30= 71.01/82 = 0.8660
tan 30= 41/71.01 =0.5774

(rounded to 4 places as asked)

anonymous · Answer

Yup all right

i_kyky · Answer

thank you!