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

30-60-90 triangle have this as their property (get to know them):

the shortest side (side opposite the 30 degree angle) is HALF the length of the hypotenuse
the other leg (side opposite the 60 degree angle) is (shortest side) * sqrt(3)

it makes things simpler and without using PT.

Answer 2

pt?

Answer 3

sorry... Pythagorean Theorem.

Answer 4

can u eaplain to me how to do this im frustrated with this exam question and i am really trying to figuere it out '
but i just dont get hotw to work out the problem

Answer 5

make a sketch of a 30-60-90 triangle and label the angles with 30,60,90.
then with what i posted about the properties, label the sides.