Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The

Question

3 years ago

13

length of C B is 5 inches, the length of A C is b, and the length of B A is c.

1 answer:

Elden [556K] · Answer 1 · 2022-05-11T18:18:38+03:00

Answer:

c = 5/Cos 35

Step-by-step explanation:

We are given the following

m<ACB = 90degrees

m<ABC = 35degrees

The side opposite to m<ABC is AC

BA = hypotenuse

CB = adjacent = 5inches

Required

Equation to solve BA which is c

Using the Pythagoras theorem;

Cos theta = Adjacent/Hypotenuse

Cos m<ABC = CB/BA

Cos m<ABC = 5/c

c = 5/cosm<ABC

c = 5/Cos 35

<em>Hence the equation that can be used to solve for c is c = 5/Cos 35</em>