7.66
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False : Cos B = 16.67/24 = 0.6946 : Therefore angle B = 46° (not 26°).
In a right triangle with the hypotenuse c equals 10 and the angle A equals 50 degrees the angle B equals: 40 degrees.
To find the hypotenuse with angle a and side b, we use the identity below:cos(a) = b/cWe have a and b, and to find c, we multiply both sides by c and divide both sides by cos(a):c = b/cos(a)c = 5/cos(30)c = 32.41460617mm
Its a ratio in a right angle triangle, cos angle = adjacent / hypotonuse.
cos(125) = cos(180 - 55) = cos(180)*cos(55) + sin(180)*sin(55) = -cos(55) since cos(180) = -1, and sin(180) = 0 So A = 55 degrees.