Fiona is standing 26 meters from the base of an oak tree. if she measures the angle of elevation to the top of the tree to be 37 degrees, how tall is the tree? estimate your answer to two decimal places.

let's say hight of tree is x.

from figure attached , using trigonometry we can say

tan 37 = x / 26

multiplying by 26 both side

tan 37 × 26 = x/26 × 26

tan 37× 26 = x

putting value of tan 37

x = tan 37 × 26 = 0.7535 × 26

x = 19.592 meters

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 !

step-by-step explanation: