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You measure a tree's shadow and find that it is x = 13 meters long. Then you measure the shadow of a nearby two-meter lamppost and find that it is 75 centimeters long. (See figure.) How tall is the tree? (Round your answer to one decimal place.)

You measure a trees shadow and find that it is x 13 meters long Then you measure the shadow of a nearby twometer lamppost and find that it is 75 centimeters lon class=

Respuesta :

Answer:34.7

Step-by-step explanation:

h/ 13 = 2/0.75

h= 2 • 13 / 0.75

34.7 m (rounded)

varshamittal029

Tree is 34.7m tall.

What is similar triangle?

In similar triangle, shape is same but size is varing. So the ratio of corresponding sides are also equal.

So according to asked question,

Let height of the tree =h

The triangle formed by the tree and its shadow is similar with the triangle formd by the the trangle formed by the lamppost and its shadow.

So, according to the propoties of the similar triangle

a₁/a₂=b₁/b₂

h/x=2m/75cm

⇒h/13=2/(3/4)

⇒h/13=2*4/3=8/3

⇒h=8*13/3=34.666≅34.7m

Therefore tree is 34.7m tall.

Learn more about similar triangle

here: https://brainly.com/question/2644832

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