Question

On level ground, a 60-foot-tall vertical building casts a 10-foot shadow. at the same time, another vertical building casts a 25-foot shadow. how many feet tall is the second building?

Answer 1

Using the concept of similar triangles, the height of the second building is calculated to be 150 feet, since its 25-foot shadow corresponds proportionally to the 60-foot building's 10-foot shadow.

Step-by-step explanation:

To find the height of the second building given that a 60-foot-tall building casts a 10-foot shadow, and another building casts a 25-foot shadow, we can use the concept of similar triangles. The idea behind similar triangles is that corresponding sides of similar triangles are proportional. Therefore, if one building is 60 feet tall and casts a 10-foot shadow, the ratios of the height to shadow length will be the same for the second building.

To set up the proportion, we have:

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We can write the proportion as:

h1/s1 = h2/s2

Substituting the known values into the proportion gives us:

60/10 = x/25

Now we solve for x:

x = (60/10) * 25

x = 6 * 25

x = 150

Therefore, the height of the second building is 150 feet.

Answer 2

150 ft. Hope this helps!