Jenny is 5ft 2in. tall. To find the height of a light pole, she measured her shadow and the pole shadow
What is the height of the pole?
here's the rest of the info
there is angle on one triangle measured 15.5 ft and on another triangle 5ft2 inn and 7ft 9 in
idk what is it
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To find the height of the pole, we can use a proportion based on the measurements of Jenny's height, her shadow's length, and the pole's shadow's length.
Here's how to calculate it:
1. Convert Jenny's height to a single unit of measurement. Since the length of the shadows is usually measured in the same unit, it would be useful to convert Jenny's height into inches. There are 12 inches in a foot, so Jenny's height in inches would be 5 feet * 12 inches/foot + 2 inches = 62 inches.
2. Measure the length of Jenny's shadow. Let's say her shadow is 8 feet long.
3. Measure the length of the pole's shadow. Let's say the pole's shadow is 16 feet long.
4. Set up a proportion using the ratios of Jenny's height to her shadow's length and the pole's height to its shadow's length. The proportions would be:
Jenny's height / Jenny's shadow = Pole's height / Pole's shadow
Plugging in the measured values would look like this:
62 inches / 8 feet = Pole's height / 16 feet
5. Solve the proportion for the pole's height using cross-multiplication.
Cross-multiplication means multiplying the numerator of the first ratio with the denominator of the second ratio and the numerator of the second ratio with the denominator of the first ratio. This results in the equation:
62 inches * 16 feet = Pole's height * 8 feet
Simplifying the equation, we get:
992 inches = Pole's height * 8 feet
6. Solve for the pole's height by dividing both sides of the equation by 8 feet.
This will give us:
Pole's height = 992 inches / 8 feet
7. Convert the pole's height into the desired unit of measurement. If needed, you can convert the measurement into feet by dividing the total inches by 12 inches per foot.
This will give us:
Pole's height = 992 inches / 8 feet = 124 inches / 12 inches/foot = 10.33 feet
Therefore, the height of the pole is approximately 10.33 feet.