Question

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

Answer 1

The answer to your question is x = 8.69 cm

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 =
`(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