If the distance from the top of a building to the tip of its shadow is 150 feet and the sun makes a 75 degree angle with the wall as shown in the image below, what is the length of the shadow? 144.89 feet 965.9 feet 53.4 feet 72.44 feet

By the process of elimination I believe that the angle the sun makes with the building is the vertex angle.  If that is our reference angle, we have the hypotenuse as 150 and we are looking for the side opposite the reference angle, which we will call x.  Therefore, the sin ratio is the one we need, as sin is equal to the side opposite over the hypotenuse.  and 150 sin(75) = x.  That gives you an x value of 144.89, first choice above.

Area of circle = pi * radius^2radius is given to be 1/2 inchespi * (1/2)^2 = pi/4 inches^2 = 0.785 inches^2