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.

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

hope this