Question

Which expression provides the measure of the smallest acute angle in a 6-8-10 right triangle?

Answer 1

Answer:B

Explanation:

Call this triangle ABC, with A at the top vertex, B at the right angle, and C at the last vertex.

Tan (A)= 6/10 = 3/5

B is not acute

Tan (C)= 8/6= 4/3

Tan^-1 ( 3/5) =30.96375653...

Tan ^ -1 ( 4/3) =53.13010235...

Thus, tan(B) is the smallest.

Looking at the answer choices, it is B.