A man standing on top of a vertical cliff spots in the adjacent valley at an angle of depression of 15 (degrees). The cliff is 40m tall. How far is the factory from the base of the cliff ?

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !