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The hypotenuse of the right triangle ABC shown below is 17 feet long. The cosine of angle C is 35. How many feet long is the segment AC?

Respuesta :

mathmate
Diagram missing.

Question interpreted as:
ABC is a right triangle right angled at A.
BC=17 feet
angle C = 35 degrees.

AC=BCcos(35)=17*0.8192=13.93 feet to the nearest 1/100th of a foot.

Length of the segment AC is 14 feet

What is Trigonometric function?

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given,

Length of the hypotenuse = 17 feet

Angle of C =35 degrees

We know that,

Cos θ = Adjacent side / Hypotenuse

cos 35 = [tex]\frac{x}{17}[/tex]

x= [tex]17(cos 35)[/tex]

x= 13.9 ≅ 14 feet

Hence, the length of the segment AC is 14 feet

Learn more about Trigonometric functions here

https://brainly.com/question/6904750

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