Jorge is setting up his tent. He is using two nylon ropes to pull the tent taut and stabilize it at each end. If the tent is 5 feet tall, and Jorge stakes the ropes into the ground 3 feet from the tent. What is the total length of nylon rope he will use,

Total length of the Nylon rope will be 5.8 feet.

Step-by-step explanation:

Given:

Height of the tent = 5 ft

ground Distance from stake to tent = 3 ft

We need to find the Total length of the nylon rope.

Solution:

Now we can say that the total length of the nylon rope, the height of the tent, the ground distance from the stake to the tent, forms a right angle triangle.

From above we can see that;

the height of the tent, the ground distance from the stake to the tent are the two legs of the right angled triangle.

While the Total length of the nylon rope is the hypotenuse.

Now using Pythagoras theorem we get;

⇒ the height of the tent

⇒  the ground distance from the stake to the tent

⇒ the Total length of the nylon rope

substituting the values we get;

Taking square root on both side we get;

Hence Total length of the Nylon rope will be 5.8 feet.

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.