Abuilding 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.

I will do b first.
b. You know that sin 30 = 1/2. So, sin 30 = 41/hypotenuse. hypotenuse is 82.

a. the length opposite of 60 deg angle is obviously 41√3 because the triangle is in ratio of x : x√3 : 2x (30: 60: 90). This also explains part b.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.