Question

There is a tree standing in the desert; the sun is rising to the east.

a. as the sun peaks over a plateau and hits the tree, classify the angle the shadow of the tree makes with the ground.
b. as the sun continues to move across the sky, classify the different types of angles that will be created and explain why they will be created.
c. when are acute angles created?
d. when would a right angle be created?
e. when would an obtuse angle be created? f. would there ever be a straight angle created? g. estimate the size of the angle when the sun is at midmorning.

Answer 1

a. As sun peeks, it creates a straight line- sun to tree to shadow, angle=180°

b. During morning, the sun-tree-shadow changes from 180° to 90°, during noon, angle =90°.During sunset the angle changes from 90 to 0°.

c. Acute angles created in afternoon.

d. A right angle would be created at noon.

e. Obtuse angle would be created in morning.

f. Yes, a straight angle would be created at sunrise.

g. When sun is at mid-morning, the angle=45°+90°= 135°