A right triangle has a 35 degree angle. The opposite leg to that angle is 12m long. Find the hypotenuse

The hypotenuse of the triangle is 21.05 m

Explanation:

Given that a right triangle has a 35 degree angle. The opposite leg to that angle is 12 m long.

We need to determine the hypotenuse of the triangle.

Hypotenuse of the triangle:

The hypotenuse of the triangle can be determined using the formula,

Substituting , we have;

Simplifying the values, we get;

Dividing, we get,

Thus, the hypotenuse of the triangle is 21.05 m

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)