A flag pole is casting a 20ft shadow. the flag pole measures 16 ft. find the angle of elevation of the sun

38.7°

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of elevation of the sun (x), and the opposite side is the height of the pole, and the adjacent side is the length of the shadow.

Replacing with the values given:  

Tan x = 16/20

x = arc tan 0.8

x= 38.7°

Feel free to ask for more if needed or if you did not understand something.  

clock

step-by-step explanation:

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 !