We can set up the following proportion using the similar triangles formed by Jaime and the flagpole:
(height of Jaime) / (length of Jaime's shadow) = (height of flagpole) / (length of flagpole's shadow)
Plugging in the given values, we have:
6 ft / 2.5 ft = h / 10 ft
Cross multiplying, we get:
6 ft * 10 ft = 2.5 ft * h
60 ft^2 = 2.5 ft * h
Dividing both sides by 2.5 ft, we get:
24 ft = h
Therefore, the height of the flagpole is 24 feet.
Jaime is 6 feet (ft) tall and casts a 2.5 ft shadow while a flagpole, with a height of h, casts a 10 ft shadow, as shown. Two similar triangles are formed when a line is drawn from the tip of the flagpole to the end of Jaime's shadow
What is the height, in feet, of the flagpole?
1 answer