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Problem in trigonometry?
There's a pole, and there's a rope that comes down from the top. When you hold the rope straight down, it's three feet longer than the pole, and when you pull the rope out tight, it's five feet from the base of the pole. How high is the pole?
1 Answer
- 7 years agoFavorite Answer
Call the height of the pole h feet
That makes the length of the rope (h + 3) feet
Stretch out, you have a right angled triangle with
base = 5 feet,
height = h feet and
hypotenuse (h + 3) feet.
It's our old friend Pythagoras again:
h² + 5² = (h + 3)²
h² + 25 = h² + 6h + 9
25 = 6h + 9
6h = 16
h = 16/6
h = 2⅔ feet
h = 2 ft 8 inches