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

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.

anonymous · Answer

i really dont know what im doing wrong...

anonymous · Answer

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(a) If the "1" side is 41, then the side opposite 60-degrees is sqrt(3).
So L = $$41\sqrt{3}$$ or 71.0141 feet

(b) If the hypotenuse is the "2" side then simply double the "1" side.
So L = 41*2 = 82 feet

(c) sin(30) = (41/82) = 0.5000
cos(30) = (71.0141/82) = 0.8660
tan(30) = (41/71.0141) = 0.5774