Question

What the answer now fast

Answer 1

`m < C = 60`

Explanation:

From the given right angled triangle, ∆ABC,

`BC = Hypotenuse = 2√(11)`

`AC = Adjacent = √(11)`

Thus, m<C can be found by applying the following trigonometric ratio formula as shown below:

`cos(C) = (adjacent)/(hypotenuse)`

`cos(C) = (√(11))/(2√(11))`

Evaluate: √11 cancels √11

`cos(C) = (1)/(2)`

`cos(C) = 0.5`

`C = cos^(-1)(0.5)`

`C = 60`

`m < C = 60`