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.
Show how you know.

Answer 1

Answer: a) 71.01408311ft

b)82ft

Step-by-step explanation: Definition of 30-60-90 degree triangle, "a right triangle in which the angle measure 30-60-90 degrees. The hypotenuse is twice the shorted leg and the longer leg is square root of 3 times longer than the shorter."

a) x √3 = 41 √3 = 71.01408311

b) 2x = 2(41) = 82 ft