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Kipish [7]
3 years ago
10

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

he side adjacent to angle C?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

<em>Approximate length of the side adjacent to ∠C is </em><em>7.66 inches.</em>

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

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-----------------------------------

Work Shown:

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