At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shadow be if they are 4 feet tall? Please help ASAP!!! :(
sketch the two triangles, they are similar, that is,
their corresponding sides are in the same ratio.
Let me know what you get.
4/x = 35/50.
X =
Sara, I usually only answer math questions
What is the unit rate of 35 and 50? (Divide 50 by 35) Multiply that number by 4 and Badda bing Badda boom, You've got your answer!
To solve this problem, we can use proportions. Proportions are useful when comparing measurements that are in direct proportion to each other.
Let's break down the information given:
- At 6:00 PM, the flagpole casts a shadow that is 50 feet long.
- The flagpole itself is 35 feet tall.
To find the length of the person's shadow, we need to understand the relationship between the height of the flagpole and the length of its shadow. We can set up a proportion to compare these two measurements:
(flagpole height) / (flagpole shadow length) = (person's height) / (person's shadow length)
Plugging in the given values, we get:
35 ft / 50 ft = 4 ft / (person's shadow length)
Now, let's solve for the person's shadow length:
(person's shadow length) = (4 ft) * (50 ft) / (35 ft)
Calculating this, we find:
(person's shadow length) = 200 ft / 35 ft
Simplifying, we get:
(person's shadow length) ≈ 5.714 ft
Therefore, at 6:00 PM, a person who is 4 feet tall will cast a shadow that is approximately 5.714 feet long.