Michelle wants to determine the height of a flag pole outside of her school. She places a meter stick next to the flag pole and measures the shadow of the meter stick and the flag pole. If the meter stick has a shadow of 140 centimeters and the flag pole has a shadow of 35 meters, then how tall is the flag pole

A: 250 meters
B: 12.5 meters
C: 400 meters
D: 25 meters

Respuesta :

Answer:


Step-by-step explanation:

The shadow of the meter stick is 40% greater than its actual length.


height of the flag pole, h


h x 1.4 = 35m


h = 35/1.4


= 25 meters

The height of the flag pole is 25 meters. Option D shows the actual height of the pole.

What is the height?

A height of an object is defined as the actual vertical distance from the top of the object.

Given that the meter stick has a shadow of 140 centimeters and the flag pole has a shadow of 35 meters.

Let us consider that the shadow of the pole is 40% larger than its actual height. Then,

140% h = 35 m

100% h = [tex]\dfrac {35}{140}\times 100[/tex]

100%h = 25 m.

Hence we can conclude that the height of the flag pole is 25 meters. Option D shows the actual height of the pole.

To know more about height, follow the link given below.

https://brainly.com/question/10726356.

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