Question

if a tree casts a 24-foot Shadow at the same time that a yardstick cast a 2-foot shadow find the height of the tree

Answer 1

To find the height of the tree, we can use the concept of similar triangles. By setting up a proportion between the lengths of the shadows and the heights of the tree and yardstick, we can solve for the height of the tree.

Step-by-step explanation:

To find the height of the tree, we can use the concept of similar triangles. We have the lengths of the shadows of the tree and the yardstick, so we can set up a proportion. Let x be the height of the tree:

(Length of tree's shadow)/(Length of yardstick's shadow) = (Height of tree)/(Height of yardstick)

Substituting the given values, we have:

(24 ft)/(2 ft) = x/(1 yd)

Simplifying, we get:

x = 12 yd

Therefore, the height of the tree is 12 yards.

Answer 2

Use similar triangles which then allows you to use a proportion.

(1 yd)/(2 ft) = x/(24 ft)

2x ft = 1 yd * 24 ft

2x = 24 yd

x = 12 yd

Answer: 12 yd