Jax's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the hous eis 6 feet across. what is the height of his dog house,in feet, at its tallest point.
To find the height of the dog house, we need to use the Pythagorean Theorem.
The height of the dog house is the unknown side (let's call it "h"), and the slanted sides are the two legs of a right triangle.
Using the Pythagorean Theorem:
h^2 = 5^2 + 5^2
h^2 = 50
To solve for h, we take the square root:
h = sqrt(50)
Simplifying:
h = 5√2
So the height of Jax's dog house, at its tallest point, is approximately 7.07 feet (rounded to two decimal places).
To get from point a to point B you must avoid walking through a pond. to avoid the pond, you must walk 34 meters east. to the nearest meter. how many meters would be saved if it were possible to walk through the pond
A suitcase is 24 inches tall and its dragonal is 30 inches long. what is h neasure of suitcase width in inches
To find the height of Jax's dog house at its tallest point, we need to use the Pythagorean theorem.
In this case, we can consider the slanted sides of the dog house as the hypotenuse of right triangles, with the height as one leg and half of the bottom length as the other leg.
We can divide the bottom length by 2 to find half of the bottom length:
6 feet / 2 = 3 feet
Now, applying the Pythagorean theorem:
Height^2 + (Half of Bottom Length)^2 = Slanted Side Length^2
Let's call the height of the dog house "h".
So, the equation is:
h^2 + 3^2 = 5^2
h^2 + 9 = 25
To solve for h^2, we subtract 9 from both sides:
h^2 = 25 - 9
h^2 = 16
Taking the square root of both sides, we get:
h = √16
h = 4 feet
Therefore, the height of Jax's dog house at its tallest point is 4 feet.