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.

Answer 1

A,

Answer 2

there is a special rule for a \(\large\color{black}{ \displaystyle 30^\circ - 60^\circ-90^\circ~~\triangle }\).

Answer 3

have you seen something like this picture before?

Answer 4

Yes

Answer 5

yes, so in your case the side opposite to the 30 deg. angle is equivalent to 41 ft.
(So your "b" is 41 -- you can disregard the unit (the feet) when doing math calculations)

Answer 6

is b (the side formed by 30 degree angle) is equal to 41,
the b\(\normalsize\color{royae}{ \rm \sqrt{3} }\) (the side formed by 60 degree angle) is equal to what ?