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.
The height of the statue is 19.5 feet.
Why?
We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.
We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)
Using the trignometric formula, we have:
First triangle:
Second triangle:
Now, the total height of the statue will be:
Have a nice day!