## anonymous 3 years ago 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.

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1. Mertsj

Did you draw the picture?

2. anonymous

rations of a 30 - 60- 90 right triangle are $$1:\sqrt{3}:2$$ for short side: long side : hypotenuse

3. anonymous

|dw:1357877378978:dw|

4. anonymous

I honestly have no clue how to do this

5. Mertsj

In this special triangle, the side opposite the 30 degree angle is 1/2 the hypotenuse. The long leg is the short leg multiplied by sqrt3

6. Mertsj

|dw:1357877629359:dw|

7. Mertsj

Now use the definitions of the trig functions to find sine, cosine, and tangent of the 30 degree angle.

8. anonymous

I got the answers already for a and b just need help on c i dont know how to do that