Mathematics: Slanted sides of a tent are 11 feet long each and the bottom of the tent is 12 feet across. what is the tallest point of the tent?

Slanted sides of a tent are 11 feet long each and

laneey3760

10.01.2022

The tallest point of the tent is 9.22 ft.

Step-by-step explanation:

The slant sides of the tent are: 11 ft

The base of the tent is 12 ft apart.

Let the height of the tent = h ft

Now, if we assume the tent to be of conical shape, the half of the tent forms a right angles triangle.

In this right angled triangle:

Slant Height of tent = Hypotenuse of the triangle = 11 ft

Height of tent = Perpendicular of the triangle = h

(Base /2) of tent = Base of the triangle = 6 ft

Now, USING PYTHAGORAS THEOREM in a right triangle:

(Base)^2 + (Perpendicular)^2 = (Hypotenuse)^2

⇒ $(6)^2 + h^2 = (11)^2\\\implies h^2 = 121 - 36 = 85\\or, h = \sqrt{85} = 9.22$

⇒ h = 9.22 ft

Hence the tallest point of the tent is 9.22 ft.

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jaisha23

05.02.2022

answer:

the answer is 2

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Step-by-step explanation:

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