Answer:
a. 0.588
b. 0.0722
c. 4.576 sqft/sec
Step-by-step explanation:
Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, because it is a right angle triangle.
It is given that
Now differentiate (1) with respect to t (time) :
The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.
b. From the diagram, infer that . When b = 8, then
.
Differentiate the above equation w.r.t t
c. The area of the triangle is given by . Differentiating w.r.t t,
Plugging in b = 8, h = 13.856, ,
