Respuesta :

Answer:

d = 10.198 or 10.2

Step-by-step explanation:

Remember, the opposite side of the angle is the corresponding length. Meaning the length across ∠F would be f = 15.

If you were to physically draw the triangle, 'f' would be the hypotenuse.

Using Pythagorean Theorem, [tex]a^2 + b^ = c^2\\[/tex]  or in this case, [tex]d^2 + e^2 = f^2[/tex],  plug in the given numbers.

                          [tex]d^2 + 11^2 = 15^2[/tex]

                          [tex]d^2 + 121 = 225\\[/tex]

                          [tex]d^2 = \sqrt{104[/tex]

                          [tex]d = 10.198[/tex]