Question

Sarah measures the length of elevation to the top of a tree as 23.6 degree from where she is standing at a point 250 meters from it's base.Her eye level, where the angle measurement was taken is 1.5 meters above the ground level.assuming the ground is horizontal, fine the height of the tree.

Answer 1

The height of the tree is 110.7  meters.

Step-by-step explanation:

Form a triangle with an angle 23.6  and base 250 meters and height x meters.

From the triangle,

tan (23.6) = Opposite / Adjacent

tan (23.6) = x / 250

x = 250 tan(23.6)

⇒ 250 0.436889

⇒ 109.2 m

x = 109.2 m

The height of the tree = x+1.5

                                     = 109.2+1.5

                                     = 110.7 m