Question

Which expressions can be used to find m∠ABC? Check all that apply.

Answer 1

Answer:

$\cos^{-1}(\frac{6.3}{9.8})$

$\sin^{-1}(\frac{7.5}{9.8})$

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The sine ratio is the length of the opposite side expressed over the hypotenuse.

$\sin m\angle ABC=\frac{7.5}{9.8}$

Take the sine inverse of both sides to get;

$m\angle ABC=\sin^{-1}(\frac{7.5}{9.8})$

The cosine ratio is the length of the adjacent side expressed over the hypotenuse.

$\cos m\angle ABC=\frac{6.3}{9.8}$

Take the cosine inverse of both sides to get;

$m\angle ABC=\cos^{-1}(\frac{6.3}{9.8})$