Question

In ΔABC, m∠B = 90°, cos(C) = 15/17 , and AB = 16 units.
Based on this information, m∠A = ___°, m∠C = ___°, and AC = ___ units. Note that the angle measures are rounded to the nearest degree.

Choices for blank 1 -
1. 33
2. 28
3. 62

Choices for blank 2 -
1. 28
2. 62
3. 33

Choices for blank 3 -
1. 22
2. 10
3. 34

Answer 1

Answer: Your question is wrong. However, one thing is clear. Blank 3's answer is 22.

Here is the reason for why this question is wrong:

Remember sohcahtoa. The 'cah' is 'cos=adjacent/hypotenuse(cos(c)=15/17)'

The adjacent side of the triangle is 15. We also know AB (which is 16) can't be hypotenuse. So AB is the opposite. and that only makes the hypotenuse 17!?

15, 16, 17 is NOT a trio so this right triangle don't make sense.

Tell me if I am wrong.