Please help me.
Thanks
It's Pythagorean Theorem:
A boot leaves port and travels 18 miles north and 15 miles east. How far from port is the boat?
I have drawn a picture, 15² + 18² = c²
²= squared.
Thanks... meh
please someone help mewith this, thanks.
225 + 324 = c^2
549 = c^2
take the square root of 549.
c = 23.4
Sure, I can help you with that!
To find the distance from the boat to the port using the Pythagorean Theorem, you need to follow these steps:
Step 1: Visualize the problem
By drawing a picture, you've already done this step. Great job! In this case, you have a right-angled triangle where the lengths of the two sides are given as 18 miles and 15 miles.
Step 2: Understand the Pythagorean Theorem
The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In mathematical terms, it can be written as:
c² = a² + b²
where c represents the hypotenuse, and a and b represent the other two sides.
Step 3: Apply the Pythagorean Theorem
Now, substitute the given values into the Pythagorean Theorem equation. In this case, a = 18 miles and b = 15 miles. So you have:
c² = 18² + 15²
Step 4: Calculate the answer
To evaluate the equation, you need to square each value and then add them together:
c² = 324 + 225
c² = 549
Step 5: Take the square root
To find the length of the hypotenuse c, you need to take the square root of both sides of the equation:
c = √549
c ≈ 23.41 miles
So, the boat is approximately 23.41 miles from the port.
I hope that helps!