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.

jdoe0001 · Answer

|dw:1366666750183:dw|

jdoe0001 · Answer

|dw:1366666921333:dw|

jdoe0001 · Answer

is that correct?

anonymous · Answer

im not sure that is why i asked. im totally confused

jdoe0001 · Answer

well, that's about the correct diagram for the city lot, now you just need to find the missing legs/sides

jdoe0001 · Answer

to find the bottom leg/side, keep in mind that $tan(30)=\frac{opp side}{adjacent\ side} \implies adjacent\ side[bottom\ side/leg] = \frac{opp side}{tan(30)}$

jdoe0001 · Answer

so, $\frac{41}{tan(30)}$ will give you the bottom side