What is the value of x in the triangle?



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x =

cm
A right triangle. The hypotenuse is labeled as 25 centimeters. The base is labeled as x. The alternate base angles are labeled as right angle and 18 degrees, respectively.​

Respuesta :

Answer:

x = 23.78

Step-by-step explanation:

From the information given, we can construct the triangle shown in the attached picture.

With respect to the angle 18, we have the hypotenuse (25) and we want to know the adjacent side (x). Thus, what trigonometric ratio relates adjacent to hypotenuse? COSINE! Thus we can set-up the ratio shown below and compute x.

[tex]Cos (18)=\frac{x}{25}\\x=25*Cos(18)\\=23.78[/tex]

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What is the value of x in the triangle?

Answer:

x =23.78