Question

a flagpole there's 40 feet in height cast a shadow that is 25 feet in length if a nearby building is 200 feet tall in the sun hits it the same angle as a tree what is the length of the building shadow

Answer 1

To determine the length of a building's shadow, a proportion is set up that relates the known height and shadow length of a flagpole to the building's height. Using similar triangles, we calculate the building's shadow to be 125 feet.

Step-by-step explanation:

The student's question involves calculating the length of a shadow cast by a building using similar triangles. In this scenario, we can use the height and shadow length of a flagpole to find the corresponding shadow length for a building using a proportion, given that the sun hits both the flagpole and the building at the same angle.

Since the flagpole is 40 feet tall and casts a 25-foot shadow, we set up the proportion:

• Flagpole height / Flagpole shadow length = Building height / Building shadow length
• 40 feet / 25 feet = 200 feet / x feet

By cross-multiplying, we can solve for x (the building's shadow length):

• 40x = 25 × 200
• 40x = 5000
• x = 5000 / 40
• x = 125 feet

Therefore, the length of the building's shadow is 125 feet.

Answer 2

120

Step-by-step explanation:

The first thing you need to do is find the what times 40 equals to 200 than you multiply that by the first shadow to fing the new shadow.