A carnival tent is set up using a 32-foot pole as the center. The Support wires each have an angle of elevation of 38 degrees fr
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Answer:
The base of the triangle is shrinking at a rate of centimeters per minute.
Step-by-step explanation:
The formula of the area of a triangle is given by the following expression:
Where:
- Area of the triangle, measured in square centimeters.
- Base of the triangle, measured in centimeters.
- Height of the triangle, measured in centimeters.
The base of the triangle is:
If and
, the base of the triangle is:
The rate of change of the area of the triangle in time, measured in minutes, is obtained after differentiating by rule of chain and using deriving rules:
The rate of change of the base of the triangle is now cleared:
Given that ,
,
and
, the rate of change of the base of the triangle is:
The base of the triangle is shrinking at a rate of centimeters per minute.