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.

mertsj · Answer

Did you draw the picture?

anonymous · Answer

rations of a 30 - 60- 90 right triangle are $1:\sqrt{3}:2$ for short side: long side : hypotenuse

anonymous · Answer

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anonymous · Answer

I honestly have no clue how to do this

mertsj · Answer

In this special triangle, the side opposite the 30 degree angle is 1/2 the hypotenuse.  The long leg is the short leg multiplied by sqrt3

mertsj · Answer

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