Question

In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C?

Answer 1

B) 7.7

Explanation:

The original answer is 7.66 but then you have to round which gives you one of the options closest to the original answer.

Answer 2

Approximate length of the side adjacent to ∠C is 7.66 inches.

Explanation:

*The appropriate triangle is attached below.

From the diagram, the right triangle ABC has

1. Hypotenuse =
   `\overline{AC}=10\ inch`
2. 
   `m\angle C=40^(\circ)`

The side adjacent to angle C is BC. We can get the length of BC by applying trigonometric operations.

We know that,

`\cos \theta =(b)/(h)`

Putting the values,

`\Rightarrow \cos 40 =(BC)/(10)`

`\Rightarrow BC=\cos 40 * {10}`

`\Rightarrow BC=7.66\ in`