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.

mathstudent55 · Answer

Do you know the ratio of the lengths of the sides of a 30-60-90 triangle?

anonymous · Answer

no i do not

mathstudent55 · Answer

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mathstudent55 · Answer

The side opposite the 30-degree angle is the short leg. Its length is half the length of the hypotenuse.
The long leg is sqrt(3) times longer than the short leg.

anonymous · Answer

I dont really understand that

mathstudent55 · Answer

Do you understand what a 30-60-90 triangle is?