Calculate the nearest whole number the angle of elevation of the top of a tree l0m
high from a man 2m tall standing 6m away
from the foot of the tree?

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