A 50-foot flagpole near an office building casts a shadow that is 12.5 feet long. At the same time, the office building
casts a shadow that is 50 feet long. How tall is the office
building?

Step-by-step explanation:

Here are some hints: "At the same time,"means you need to set up a proportion (two ratios equal each other).

The shadow is always on the ground.

A person and a flagpole always stands up straight, like a wall (vertical height)

Underline key words and numbers. Draw a picture for sure.

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|X 5.5 ft. |

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flagpole=50 feet person's shadow=4 feet

shadow

Since it is easier to work with one type of measurement, change the person's height to feet only. The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.