Question

Determine the approximate value of x A. 18.85 B. 7.36 C. 8.69 D. 20.47

Answer 1

Answer:

The answer to your question is x = 8.69 cm

Step-by-step explanation:

From the image we can conclude that this is a right triangle, so we must use trigonometric functions to solve it.

Data

hypotenuse = x = ?

Adjacent side = 8 cm

Ф = 23°

Process

1.- We must use the trigonometric function cosine to solve this problem.

    Cos Ф = $\frac{Adjacent side}{hypotenuse}$

2.- Solve it for hypotenuse

    hypotenuse x cos Ф = Adjacent side

    hypotenuse = Adjacent side / cos Ф

3.- Substitution

    hypotenuse = 8 / cos 23°

3.- Simplify and result

    hypotenuse = 8 / 0.9205

    hypotenuse = x = 8.69 cm