Question

How can I solve the statement below?

Solve for angle A in the right triangle below, given that b = 2.5 and c = 6. (Note: Drawing is not necessarily to scale.)

Answer 1

9514 1404 393

Answer:

A ≈ 65.4°

Explanation:

The mnemonic SOH CAH TOA is intended to remind you of the trig relations associated with pairs of sides. For angle A, given sides b and c are the adjacent side and the hypotenuse, respectively. The appropriate relation is ...

Cos = Adjacent/Hypotenuse

cos(A) = b/c

A = arccos(b/c) = arccos(2.5/6)

A ≈ 65.4°