Frank stands 400 feet from the base from the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of
2 answers:
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The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
<h3>How to determine the instantaneous rate of change of a given function</h3>The <em>instantaneous</em> rate of change at a given value of can be found by concept of derivative, which is described below:
Where is the <em>difference</em> rate.
In this question we must find an expression for the <em>instantaneous</em> rate of change of if
and evaluate the resulting expression for
. Then, we have the following procedure below:
Now we evaluate for
:
The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
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Answer:
From the given figure we can see that :---
MN||PO, MN=PO and MP=NO
Therefore, angle M=angle N (adjacent sides of the trapezoid)
angle M=angle N= (6×18)+20=108+20 =128°
angle O =(180°-128°)=52°
<h3>Hence, angle O is <u>52°.</u></h3>