Answer:
B. 12 feet
Explanation:
Given information:
- The position of the woman is 6 ft west of the southwest corner of the house.
- The position of the tree is 8 ft south of the southwest corner of the house.
Therefore, the distance (d) from the woman to the tree is the hypotenuse of a right triangle with legs of 6 ft and 8 ft (see attachment 1).
To find the distance (d) from the woman to the tree, use Pythagorean Theorem:





Therefore, the distance from the woman to the tree is 10 feet.
The bird is 11 ft up in the tree, and the woman holds the binoculars 5 ft off the ground. Therefore, we have a right triangle (attachment 2) where:
- The base is the distance between the woman and the tree (10 ft).
- The height is the difference between the height of the bird and the height of the binoculars from the ground: 11 ft - 5 ft = 6ft
Use the Pythagorean theorem to find the hypotenuse (h) of the right triangle with legs of 6 ft and 10 ft, which represents the distance from the bird to the binoculars:






Therefore, the approximate distance from the bird to the binoculars is 12 feet.