Question

Look at the triangle: A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 15 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of cos x°?

Answer 1

Answer:

tan x degrees is opposite over adjacent, making it 8 over 6 and your answer 8 divided by 6

Answer 2

Answer:

$\frac{15}{17}$

Step-by-step explanation:

Refer the attached figure

Hypotenuse = AC = 17 cm

An acute angle of the triangle is labeled as x degrees.i.e.∠ACB = x

The side adjacent to the acute angle has length 15 centimeters i.e. BC = 15 cm

The side opposite to the acute angle has length 8 centimeters.i.e. AB = 8 cm

Now we will use trigonometric ratio

$cos \theta =\frac{Base}{Hypotenuse}$

$cos x =\frac{BC}{AC}$

So, $cos x =\frac{15}{17}$

Hence the value of cos x° is $\frac{15}{17}$