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The Big Top tent at the traveling circus has a cylindrical wall that is 30 feet tall and has a diameter of 72 feet. A steel pole in the center holds up the conical tent on top.

If the slant height of the conical tent (from the peak of the steel pole to the top of the edge of the cylindrical wall) is 45 feet, what is the total height of the steel pole?

The Big Top tent at the traveling circus has a cylindrical wall that is 30 feet tall and has a diameter of 72 feet A steel pole in the center holds up the conic class=

Respuesta :

Using Pythagoras theorem, the length of the pole is 57 feet

What is Pythagoras Theorem

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

In this problem, assuming the pole runs down to the ground.

We can apply Pythagoras's theorem to find the height of the the conical roof.

Taking half the length of the the wall, i.e it's diameter = 72 /2 = 36ft

Using Pythagoras theorem;

45² = 36² + x²

x² = 45² - 36²

x² = 729

x = √729

x = 27 feet

The height of the conical roof is 27

The length of the pole = height of the conical roof + height of cylindrical wall

Length of pole = 27 + 30 = 57 ft

The length of the pole is 57ft

Learn more on Pythagoras theorem here;

https://brainly.com/question/343682

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