contestada

- 2717
24. A large elm tree died after it was struck by lightning. The
property owner thinks he can remove it himself, but is concerned
that it will fall on his greenhouse. He takes several measurements
before attempting to cut it down. At 3 P.M. he measures the
shadow of the tree and finds it to be 15 feet long. He also
determines that the tree is 27 feet from the greenhouse. What
else must he know to be able to determine the height of the
tree?
(1) the height of the greenhouse
(2) the width of the greenhouse
(3) the diameter of the tree
(4) the speed and direction of the wind
(5) the length of the shadow of the 4-foot fencepost

Respuesta :

jmaran

Answer: he must know the distance between the bottom of the tree and the green house

Explanation:

Answer:

(5) the length of the shadow of the 4-foot fence post

Explanation:

Recall the concept of similar triangles,

We can model the given problem into a set of two triangles who are similar in shape but different in size.

Please refer to the attached diagram,

The first triangle represents the tree, where X is the height of the tree that we want to find out. The length of the shadow made by the tree is given as 15 ft.

The second triangle represents the fence post, Where the height of the fence post is given as 4 ft and Y is the length of the shadow made by the fence post.

[tex]\frac{X}{4} = \frac{15}{Y}[/tex]

[tex]X= \frac{4*15}{Y}[/tex]

Here if he know the the length of the shadow made by the fence (Y) then he would be able to find X that is the height of the tree.

Once he find the height of the tree then he would be able to know whether its safe to remove the tree since he already know that the tree is 27 feet away from the greenhouse.

Ver imagen nafeesahmed

Otras preguntas

Q&A Education