Answer:
59 degrees angle of elevation
Step-by-step explanation:
Draw a picture:
|
|
10 meters tall tree
|
______| 2 meters__________________
6 meter
It appears there are two triangles here. a small one created by the 2 meter tall man
and a big one created by the 10 meter tall tree.
so
Notice we have the heights of these 2 triangles, but not the bases
We can let x = the base length of the small triangle with height 2 meters.
so 2/10 = x / 6
by property of similarity of triangles.
x = 6/5
to find the angle of elevation:
use the inverse tangent function to find the angle
tangent of Angle = 2 divided by (6/5) = 5/3
Angle of elevation = inverse tan (5/3) = 59.036 degrees
