Question

A tree casts a shadow 12 feet long. A 5 ft pole is placed perpendicular to the ground. The length of the pole's shadow is 4 feet. How tall is the tree?.

Answer 1

To find the height of the tree, set up a proportion using the lengths of the shadows. The height of the tree is 15 feet.

Step-by-step explanation:

To find the height of the tree, we can set up a proportion using the lengths of the shadows. Let x be the height of the tree.

Since the tree casts a shadow 12 feet long and the pole's shadow is 4 feet long, we have the proportion: (length of tree's shadow) / (length of pole's shadow) = (height of tree) / (height of pole).

Substituting the given values, we get: 12 / 4 = x / 5. Solving for x, we find that the height of the tree is 15 feet.

Answer 2

Step-by-step explanation:

find the angle between 5ft and 4ft. .8. Multiple .8 x 12. The tree is 9.6 feet tall