Question
Answer each question and round your answer to the nearest tenth
I a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall women casts?
I a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall women casts?
Answers
GPT 3.5
To find the length of the shadow cast by the 6.2 ft tall woman, we can set up a proportion using the heights and lengths of the shadows.
Let "x" represent the length of the shadow cast by the woman.
The proportion can be set up as:
42.9 ft (length of flagpole shadow) / 253.1 ft (length of flagpole) = x (length of woman's shadow) / 6.2 ft (height of woman)
Cross-multiplying, we get:
42.9 ft * 6.2 ft = 253.1 ft * x
266.58 = 253.1x
Dividing both sides by 253.1, we have:
x = 266.58 / 253.1
x ≈ 1.05 ft
Therefore, the shadow cast by the 6.2 ft tall woman is approximately 1.1 ft long.
Let "x" represent the length of the shadow cast by the woman.
The proportion can be set up as:
42.9 ft (length of flagpole shadow) / 253.1 ft (length of flagpole) = x (length of woman's shadow) / 6.2 ft (height of woman)
Cross-multiplying, we get:
42.9 ft * 6.2 ft = 253.1 ft * x
266.58 = 253.1x
Dividing both sides by 253.1, we have:
x = 266.58 / 253.1
x ≈ 1.05 ft
Therefore, the shadow cast by the 6.2 ft tall woman is approximately 1.1 ft long.