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

|dw:1368856954059:dw|

anonymous · Answer

Part (a) Find the length of the side of the lot opposite the 60° angle.
That is to find x in the figure|dw:1368857067199:dw|
You can use tangent ratio to find it. Note that 30° is a special angle.

anonymous · Answer

Part (b) Find the length of the hypotenuse of the triangular lot.

You can either do it by trigonometric ratio or Pythagora's Theorem.

anonymous · Answer

Part (c) look up the table and multiply the ratio by 41.

anonymous · Answer

How do I use tan for that?