Question

If a = 6 and c = 15, what is the measure of ∠A? (round to the nearest tenth of a degree) Q: A: A) 21.8° B) 22.7° C) 23.6° D) 66.4°

Answer 1

Option C) 23.6°

Explanation:

we know that

In this problem the triangle ABC is a right triangle

see the attached figure to better understand the problem

`sin(A)=(BC)/(AB)` ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

`sin(A)=(6)/(15)`

using a calculator

`A=sin^(-1)((6)/(15))=23.6^o`