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

get to know the properties of the 30-60-90 triangle.  you can solve this triangle without the pythagorean theorem and much faster too...

for any 30-60-90 triangle:
the length of the shortest leg (opposite the 30 degree angle) is half of the hypotenuse.
the length of the other leg (opposite the 60 degree angle) is (shortest side)*sqrt3

directrix · Answer

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