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

Answer:

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

Step-by-step 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,

$\cos \theta =\dfrac{b}{h}$

Putting the values,

$\Rightarrow \cos 40 =\dfrac{BC}{10}$

$\Rightarrow BC=\cos 40 \times {10}$

$\Rightarrow BC=7.66\ in$