Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long. Round to the nearest degree.

Question

Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.  Round to the nearest degree.

anonymous · Answer

Tan x=O/A
Tan x=10/14

The angle B can be found using the inverse tangent function.
Substitute in the values of the adjacent (14) and opposite (10) sides to angle B of the triangle.

To convert radians to degrees, multiply by (180)/(`), since a full circle is 360^(o) or 2` radians.
B=0.6202*(180)/(`) degrees

Multiply 0.6202 by (180)/(`) to get (111.6449)/(`).
B=(111.6449)/(`) degrees
which is approximately equal to 3.1416.
B=(111.6449)/(3.1416) degrees

Divide 111.6449 by 3.1416 to get 35.5377.
B=35.5377 degrees.

anonymous · Answer

Thanks i really need some help :)

anonymous · Answer

dats okay .. hope yu've understood :)