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daltondespain2
10.11.2020 •
Mathematics
A 10 ft ladder is being pulled away from a wall at a rate of 3 ft/sec. What is the rate of change in the area beneath the ladder when the ladder is 6 ft from the wall
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Ответ:
The rate of change in the area beneath the ladder is 5.25 ft²/s
Step-by-step explanation:
Area of triangle is given by;
where;
b is the base of the triangle, given as 6 ft
h is the height of the triangle, determined by applying Pythagoras theorem.
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = √64
h = 8 ft
Determine the rate of change of the height;
Finally, determine the rate of change of area beneath the ladder;
Therefore, the rate of change in the area beneath the ladder is 5.25 ft²/s
Ответ:
B
Step-by-step explanation: