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.

campbell_st · Answer

this uses an exact value triangle 

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every side in the larger triangle is multiplied by the same value. 

(a) you just need to work out what you multiply square root of 3 by. 

(b) its been done for you.

(c) just find the ratios... expressing them as a decimal. 

they will be the same for the smaller 1, 2, sqrt(3) triangle