Question
if the base is 11 miles and the slant height is 61 miles how long is the height
Answers
GPT 3.5
To find the height, we can use the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (slant height in this case) is equal to the sum of the squares of the other two sides.
So, in this case, we have a right triangle with base = 11 miles, height = ?, and slant height = 61 miles.
Applying the Pythagorean Theorem:
(11 miles)^2 + (height)^2 = (61 miles)^2
121 + (height)^2 = 3721
(height)^2 = 3600
Taking the square root of both sides:
height = √3600
height ≈ 60 miles
Therefore, the height is approximately 60 miles.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (slant height in this case) is equal to the sum of the squares of the other two sides.
So, in this case, we have a right triangle with base = 11 miles, height = ?, and slant height = 61 miles.
Applying the Pythagorean Theorem:
(11 miles)^2 + (height)^2 = (61 miles)^2
121 + (height)^2 = 3721
(height)^2 = 3600
Taking the square root of both sides:
height = √3600
height ≈ 60 miles
Therefore, the height is approximately 60 miles.