Question

Please help if you can, explain. Thanks! A LOT

Answer 1

1. SOH CAH TOA tells you the tangent is the ratio of the Opposite side to the Adjacent side, that is, 4/3. (This correct answer is not among your choices.)

2. The mnemonic SOH CAH TOA can be helpful here. It tells you

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

... Tan = Opposite/Adjacent

$\dfrac{c}{b}=\tan{C}\\\\ \dfrac{b}{a}=\sin{B}\\\\ \dfrac{b}{c}=\tan{B}\\\\ \dfrac{c}{a}=\cos{B}$

3. Reference the ratios listed above (for the second problem). You see that sin(α) = cos(90°-α). That is, the sine of an angle is the cosine of its complement and vice versa. The appropriate choice is

... D. 19/20