The value of x, the length of the diagonal, to the nearest whole number is 5
To get the value of x from the given diagram, we will use the cosine rule as shown:
c² = a² + b² - 2ab cos Ф
From the given diagram;
a = 6
b = 4
Ф = 55 degrees
Substitute into the formula
c² = 6² + 4² - 2(4)(6)cos 55
c² = 36 + 16 - 48cos55
c² = 52 - 27.53
c² = 24.4
c = 4.94
c = 5 (to the nearest while number).
The value of x, the length of the diagonal, to the nearest whole number is 5
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