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Q27
Please help me as soon as possible.

Q27 Please help me as soon as possible.-example-1
User Mageek
by
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1 Answer

3 votes

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:


d^2=6^2+8^2


d^2=36+64


d^2=100


√(d^2)=√(100)


d=10

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:


h^2=6^2+10^2


h^2=36+100


h^2=136


√(h^2)=√(136)


h=11.661903...


h=12\; \sf ft\;(nearest\;foot)

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

Q27 Please help me as soon as possible.-example-1
Q27 Please help me as soon as possible.-example-2
User Dimitar Nikovski
by
8.4k points