A scuba diver has a rope connecting the dive boat to an anchor on the ocean floor. The rope is 13ft long. The water is 5ft deep. How far is the anchor from a point directly below the boat?

The anchor is 12 feet far from the point directly below the boat.

Step-by-step explanation:

Given that:

Length of rope connecting the dive boat to an anchor = 13 feet

Depth of water = 5 feet

Here,

The rope connecting the dive boat to the anchor will serve as hypotenuse of a right angle triangle, depth of water will be the height of triangle and distance from anchor to point directly below the boat will be base of triangle.

Using Pythagorean theorem;

a = 5 , c = 13

Taking square root on both sides

Hence,

The anchor is 12 feet far from the point directly below the boat.

step-by-step :

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11