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What is the value of x in the triangle?



Enter your answer in the box. Round your final answer to the nearest hundredth. Do not enter the units in the box.

What is the value of x in the triangle Enter your answer in the box Round your final answer to the nearest hundredth Do not enter the units in the box class=

Respuesta :

jemarcus1999
For this you would use the cosine function because you have an angle, the hypotenuse, and the adjacent side
cos(x)=adjacent/hypotenuse
cos(18)=x/25 (cross multiply)
25*cos(18)=x
x=23.78 cm rounded
facundo3141592

By using trigonometric relations, we will see that x = 23.78cm

Finding an adjacent cathetus on a right triangle.

An adjacent cathetus in a right triangle is the cathetus that is adjacent to the known angle.

To get it, we can use the trigonometric relation:

Cos(θ) = (adjacent cathetus)/(hypotenuse).

In the image we can see that:

  • θ = 18°
  • Hypotenuse = 25cm
  • adjacent cathetus = x.

Replacing that we get:

cos(18°) = x/25 cm

cos(18°)*25cm = x = 23.78 cm

The value of x is 23.78 centimeters.

If you want to learn more about trigonometry, you can read:

https://brainly.com/question/8120556

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