Plot the points and decide if the rectangular cakes are scale drawings of each other.
2 answers:
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Given :
Han says that we can wrap a 5 foot rope around a wheel with a 2 foot rope.
To Find :
It this true or false.
Solution :
Radius of wheel, r = 1 foot.
Circumference of wheel is given by :
Since, circumference is greater than 5 foot, therefore, we cannot wrap a 5-foot rope around a wheel with a 2-foot diameter.
Hence, this is the required solution.
Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
= which is unknown.
Let us begin solving now. The first step is to find the angle which can be found by using the following trigonometric ratio in
:
Which gives to be:
Now, we know that and
can be added to give us the complete angle
in the right triangle
.
We can again use the tan trigonometric ratio in to solve for the height of the statue, h.
This can be done as:
Thus, the height of the statue is approximately, 8.45 feet.
