Question


Sides of Similar Figures Quick Check
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Question
Solve the following problem using the properties of similar triangles. A 40-foot flagpole outside an office building casts a 25-foot shadow. What is the height of the office building if the shadow it casts is 200 feet long?(1 point)
Responses

5 feet
5 feet

400 feet
400 feet

320 feet
320 feet

125 feet

Answers

GPT 3.5
The height of the office building can be determined using the property of similar triangles.

Let's set up a proportion using the corresponding sides of the two triangles:

40 feet (height of flagpole) / 25 feet (shadow of flagpole) = x (height of office building) / 200 feet (shadow of office building)

Cross multiply and solve for x:

40 * 200 = 25 * x

8000 = 25x

Divide both sides by 25:

x = 320

Therefore, the height of the office building is 320 feet.

Answer: 320 feet