Question

A rope is stretched from the top of a
7-foot tent pole to a point on the ground
12 ft from the base of the pole. How long
is the rope ?

Answer 1

Answer:

Step-by-step explanation:

we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem

$C^{2}$ = $A^{2}$ + $B^{2}$

$C^{2}$ = $7^{2}$ + $12^{2}$

$C^{2}$ = 49 + 144

$C^{2}$ = 193

C = $\sqrt{193}$

C = 13.89 feet

Answer 2

Answer:

The square of the hypotenuse equals the square of the sum of the other two sides.

13.89ft

Step-by-step explanation:

Definition Of Pythagoras Theorem :

The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.

Given:

Height of the Tent Pole = 7ft.

Base of the Pole of the Tent = 12ft.

Now we will use Pythagoras theorem to find how long the rope is.

Use of Pythagoras theorem

$\begin{aligned}&C^{2}=A^{2}+B^{2} \\&C^{2}=7^{2}+12^{2} \\&C^{2}=49+144 \\&C^{2}=193 \\&C=\sqrt{193} \\&C=13.89 \text { feet }\end{aligned}$

Hence, the length of the rope is 13.89ft.

To know more about Pythagoras theorem here

https://brainly.com/question/343682  #SPJ2