Answer:
see below
Step-by-step explanation: 5 19 16 09
cos Θ = Adj side / hypotenuse
first we need to calculate the hypotenuse
a² + b² = c² leg1² + leg2² = hypotenuse²
6² + √7² = hypotenuse²
36 + 7 = hypotenuse²
√43 = hypotenuse
cos K = Adj side / hypotenuse
cos K = 6 / √43
cos K = (6 √43) / ((√43)(√43))
cos K = 6√43 / 43
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check
or tan Θ = opp /adj
K = inv tan (√7/6)
Θ = 23.795°
cos (23.795°) = 0.91499 6√43 / 43 = 0.91499