Question

The sun casts the shadow of a 10-foot tree on the ground with an angle of 33 degrees. If you are standing on the tip of the shadow, approximately how far are you from the tree?

Answer 1

Answer: My distance from the tree is approximately 15 feets

Explanation:

The diagram of the tree, its shadow and the sun is shown in the attached photo. A triangle, ABC is formed.

x = my distance from the tree

Angle B = 33(angle formed by the shadow of the tree on the ground)

To determine my distance from the tree, x we would apply trigonometric ratio

Tan# = opposite side /adjacent side

Where

# = 33 degrees

x = adjacent side

opposite side = 10 feets

Tan 33 = 10/x

xtan33 = 10

x = 10/tan 33

x = 10/0.6494

x = 15.4

My distance from the tree is 15.4 feets

My distance from the tree is approximately 15 feets