If c = 25 and 3 = 74º, find a round to the nearest tenth.

6.9

Step-by-step explanation:

Assuming that this is a right triangle trigonometry problem, we first need to determine what ratio must be used to find a.

B = 74°

c = 25

Sine equals Opposite over Hypotenuse.

Cosine equals Adjacent over Hypotenuse.

Tangent equals Opposite over Adjacent.

I'm guessing that c is the hypotenuse and that a is adjacent of B. With this, I know that we need to use cosine.

Cos∅ = (Adjacent ÷ Hypotenuse)

Cos∅ x Hypotenuse = Adjacent

Cos(74°) x 25 = a

(0.2756) x 25 = a

a = 6.89

Finally, round to the nearest tenth.

6.89 -> 6.9

~Hope this Helps!~

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)