Question

Which equation can be used to find the measurement of ∠C? To the nearest degree, what is the measurement of ∠A? A) 5sin∠C = 2; 24° B) 29 sin∠C = 2; 68° C) 5sin∠C = 29 ; 22° Eliminate D) 29 sin∠C = 2; 22°

Answer 1

First guy is incorrect.Answer is actually B

Answer 2

Option B

`√(29)sin(C)=2`

`A=68\°`

Explanation:

see the attached figure to better understand the problem

Part A) Which equation can be used to find the measurement of ∠C?

we know that

In the right triangle ABC

`sin(C)=(2)/(√(29))`

therefore

`√(29)sin(C)=2`

Part B) What is the measurement of ∠A?

In the right triangle ABC

`tan(A)=(5)/(2)`

`A=arctan((5)/(2))=68\°`