a playground is 50yd by 50 yd

amy walked across the playground from one corner to the opposite corner. how far did she walk?
i got : 5000yd

#2
a 70 ft ladder is mounted 10 ft above the ground on a fire truck. the bottom of the ladder is 40 ft from the wall of a building. the top of the ladder is touching the building. how high off the ground is the top of the ladder?
im not sure on this

Does you answer make any logical sense to you ????

distance^2 = 50^2 + 50^2 = 5000
distance = √5000
= appr. 70.7 yds

2. Make a sketch and use Pythagoras

for number 1 should it be she walked 100 yd

a playground is 50yd by 50 yd

amy walked across the playground from one corner to the opposite corner. how far did she walk?
i got : 100 yd

marko, she didn't walk around the playground - she walked across it -- diagonally

To find the distance Amy walked across the playground, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the playground forms a right triangle with sides measuring 50 yards. The hypotenuse, which is the distance Amy walked, can be found by applying the Pythagorean theorem:

Distance^2 = 50^2 + 50^2

Solving this equation:

Distance^2 = 2500 + 2500

Distance^2 = 5000

Taking the square root of both sides, we find:

Distance = √5000 ≈ 70.71 yards

So, Amy walked approximately 70.71 yards across the playground.

For the second question, to find the height of the top of the ladder, we can use the same concept of a right triangle and the Pythagorean theorem.

We have a right triangle formed by the ladder, the ground, and the wall of the building. One of the legs of the triangle is the distance from the wall to the bottom of the ladder, which is given as 40 feet. The ladder itself is 70 feet long, and its top is touching the building. The other leg of the triangle is the height we need to find.

Using the Pythagorean theorem:

Height^2 = 70^2 - 40^2

Height^2 = 4900 - 1600

Height^2 = 3300

Taking the square root of both sides:

Height = √3300 ≈ 57.45 feet

Thus, the top of the ladder is approximately 57.45 feet off the ground.