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constipatedcow18
19.10.2021 •
Mathematics
A kite glides horizontally at an altitude of 20 m while we unspool the string. Consequently, the angle made between the string and the horizon diminishes. We would like to determine the rate at which this angle decreases once 30 m of string has been unspooled, given that, at that instant, the kite‘s horizontal velocity is 3 m/s.
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Ответ:
Part 1) The scale for the drawings without units are 1/12 and 1/36
Part 2) The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36. The explanation in the procedure
Step-by-step explanation:
we know that
1) Lin used a scale of![\frac{1}{1} \frac{in}{ft}](/tpl/images/0275/6391/ef963.png)
Remember that
1 ft=12 in
substitute in the scale
That means ----> 1 unit in the drawing represent 12 units in the actual
2) Her brother used a scale of![\frac{1}{1} \frac{in}{yd}](/tpl/images/0275/6391/85900.png)
Remember that
1 yd=36 in
substitute in the scale
That means ----> 1 unit in the drawing represent 36 units in the actual
therefore
The scale for the drawings without units are 1/12 and 1/36
Part 2) Whose drawing is larger?
The scale drawing 1/12 is larger than the scale drawing of 1/36
To find out how many times as large is the scale 1/12 than the scale of 1/36
Divide 1/12 by 1/36
The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36
Explanation
Let supposing that we want to represent in the drawing a measure that in its real size measures 36 units.
In the scale of 1/12, the drawing will show a measure of 3 units (remember 3(12)=36 units).
At the 1/36 scale, the drawing will show a measurement of 1 unit (remember 1(36)=36 units).
Therefore the largest drawing will be with a scale of 1/12.