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

the hypotenuse is twice the length of the short side, so it is 82

anonymous · Answer

the long side is $\sqrt{3}$ times the length of the short side, it is $41\sqrt3$

anonymous · Answer

@satellite73  lol..why do you leave me hanging so quickly..:(

anonymous · Answer

that was all right?

anonymous · Answer

$$\sin(30)=\frac{1}{2}, \cos(30)=\frac{\sqrt{3}}{2}, \tan(30)=\frac{1}{\sqrt{3}}$$

anonymous · Answer

you have to use a calculator to get the decimals

anonymous · Answer

oh ok thanks @satellite73! You are AWSOME! :)

anonymous · Answer

yw btw $\cos(30)=.8660$ http://www.wolframalpha.com/input/?i=cos%2830%29