A Right Triangle Initially Has Side Lengths of 3, 4

question 81

Multiple Choice

A right triangle initially has side lengths of 3, 4, and 5 cm. Suppose the small side is increased at a rate of 1 cm/sec, while the length of the height is kept constant. How fast is the smallest angle of the right triangle changing when it reaches the value of rad ?

• A) rad/sec
• B) rad/sec
• C) rad/sec
• D) We cannot answer this question because the function representing the smallest angle is not differentiable.
• E) We cannot answer this question because it depends on the time which is unknown.

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Definitions:

Demand Curve

A graph showing the relationship between the price of a good and the quantity of that good that consumers are willing and able to purchase at various prices.

Budget Line

A graphical representation of all possible combinations of two goods that can be purchased with a given budget at specific prices.

Demand Schedule

A table that shows the quantity of a good that consumers are willing and able to purchase at various prices.

Total Utility

The overall satisfaction or value a consumer derives from consuming a certain amount or quantity of goods and services.