Question

A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown. The side opposite the 30° angle measures 41 feet.

a. Find the length of the side of the lot opposite the 60° angle.

Show how you know.

b. Find the length of the hypotenuse of the triangular lot.

Answer 1

first to find the side opposite of the 60 degree we bust take the opposite of 30 degrees and times it by two for the rule of a 30-60-90 degree triangle with that we get 82 feet. then whe take 41 and times it by the square root of 3 which would equal to 71.14 feet or 71.1 for rounding