Answer:
[tex] x = 16 [/tex]
Step-by-step explanation:
x = length of diagonal, can be calculated using the Law of Cosines as explained below:
a² = b² + c² - 2bc(cosA),
Where,
a = x
b = 17
c = 13
A = 64°
Plug in the values into the formula:
[tex] x^2 = 17^2 + 13^2 - 2(17)(13)*cos(64) [/tex]
[tex] x^2 = 289 + 169 - 442*0.4384 [/tex]
[tex] x^2 = 458 - 193.77 [/tex]
[tex] x^2 = 264.23 [/tex]
[tex] x = \sqrt{264.23} [/tex]
[tex] x = 16.255 [/tex]
Length of diagonal, [tex] x = 16 [/tex] (to nearest whole number)
