A surveyor sets a stake and then walks 150 feet north, where she sets a second stake. She then walks 300 feet east and sets a third stake. How far from the first stake is the third stake? Round to the nearest tenth.
Thanks for your help.
This is a right triangle. Therefore the Pythagorean Law
applies. 150^2+300^2= Distance^2
22500+90000=D^2
112500=D^2
335.41=D
Rounded to the nearest tenth, D=335.4 feet
Are you planning to routinely post every question of your assignment.
This is the third consecutive question is a row without you showing any effort in doing these.
What have you got so far for this question?
To find the distance between the first stake and the third stake, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right 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 other two sides.
In this case, we can consider the distance the surveyor walks north as one side of the right triangle, and the distance she walks east as the other side. The distance between the first and third stake will then be the length of the hypotenuse.
To calculate the distance, we can follow these steps:
1. Square the distance the surveyor walked north: 150^2 = 22,500.
2. Square the distance the surveyor walked east: 300^2 = 90,000.
3. Add the squares of the two distances: 22,500 + 90,000 = 112,500.
4. Take the square root of the sum to find the distance between the first and third stake: √112,500 = 335.41 feet (rounded to the nearest tenth).
Therefore, the third stake is approximately 335.4 feet away from the first stake.