andybiersack154
contestada

a rectangular ponds refectuons in a part is 16 feet long. The maintenance crew placed a string of flags 20 feet long across the pond diagonally as shown below. What is the width of the pond​

a rectangular ponds refectuons in a part is 16 feet long The maintenance crew placed a string of flags 20 feet long across the pond diagonally as shown below Wh class=

Respuesta :

MsRay

Answer:

width = 12 ft

Step-by-step explanation:

Given the figure of the pond and the fact that the corners form a right triangle that is across from the string of flags, you can use the Pythagorean Theorem to solve for the width of the triangle that is formed by the flags:

a² + b² = c², where 'a' and 'b' represent the legs of the triangle and 'c' represents the diagonal or hypotenuse.  Using 16 for 'a' and 20 for 'c':

16² + b² = 20²

256 + b² = 400

Subtract 256 from both sides: 256 - 256 + b² = 400 - 256 or b² = 144

Take the square root of both sides:  √b² = √144  or b = 12 ft

The width of the pond is 12 feet and this can be determined by using the Pythagorean theorem.

Given :

  • A rectangular pond's reflection in a part is 16 feet long.
  • The maintenance crew placed a string of flags 20 feet long across the pond diagonally.

The Pythagorean theorem can be used to determine the width of the pond. The Pythagorean theorem is given by the formula:

[tex]\rm H^2 = B^2+P^2[/tex]    ----- (1)

where H is the Hypotenuse, B is the Base and P is the Perpendicular.

Now, put the values of H that is 20ft, and B that is 16ft in equation (1).

[tex]\rm 20^2=16^2+w^2[/tex]

[tex]\rm 400=256+w^2[/tex]

[tex]\rm 144=w^2[/tex]

w = 12ft

Therefore, the width of the pond will be 12 feet.

For more information, refer to the link given below:

https://brainly.com/question/16426393

Otras preguntas