Question

the angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30 degrees. which equation can be used to find the height of the tree

Answer 1

the equation to find the height is: x = 25 * tan(30°) and the height is x = 14.43 feet

Explanation:

Length of tree = 25 feet

Angle of elevation = 30 degrees

Equation for the height of tree=?

Let x represent the height.

We know that tan Ф = Perpendicular/Base

tan Ф = height of tree/ length of base

tan Ф = x/l

=> x = l*(tanФ)

x = 25 * tan(30°)

Now, putting values:

x= 25 * tan(30°)

x = 25 * 0.577

x = 14.43 feet

So, the equation to find the height is: x = 25 * tan(30°) and the height is x = 14.43 feet