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Question 1 of 5
A rope is stretched from the top of a 5-foot tent to a point on the
ground that is 9 feet from the base of the tent.
5 ft
9
How long is the rope? Approximate to the nearest tenth if necessary.
A. 10.3 ft
B. 4 ft
C. 14 ft
D. 7.5 ft

Respuesta :

oladayoademosu

The length of the rope is A. 10.3 ft.

The required triangle

Now, the length of the rope, L, the height of the tent , h and the distance of point on ground, d form a right-angled triangle with hypotenuse side length of rope,L

Pythagoras' theorem

Using Pythagoras' theorem which states that in any right-angled triangle, the square of the hypotenuse side equals the sum of the squares of the other two sides.

So, L² = h² + d²

The length of the rope

L = √(h² + d²)

Since h =  5ft and d = 9 ft

Substituting the values of the variabes into the equation, we have

L = √(h² + d²)

L = √(5² + 9²)

L = √(25 + 81)

L = √106

L = 10.29 ft

L ≅ 10.3 ft

So, the length of the rope is A. 10.3 ft.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/654982

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