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Advocard [28]
3 years ago
9

A right angle triangle is shown with hypotenuse equal to 13 centimeters. An acute angle of the triangle is labeled as x degrees.

The side adjacent to the acute angle has length 5 centimeters and the side opposite to the acute angle has length 12 centimeters.
What is the value of sin x°?

Mathematics
2 answers:
erastova [34]3 years ago
7 0
Sin = opposite/hypotenuse

so sin (x) = 12/13

answer is 12/13
Archy [21]3 years ago
3 0

Answer:

the right answer is 12/13= 0.92

Step-by-step explanation:

with the data given we have:

with the picture, we already have an idea of the data, and the question asks us to find the sin of x, remembering sin= \frac{opposite}{hypotenuse}

so we need to find the value of the opposite

Using the Pythagoras theorem opposite^{2}+adjacent^{2}= hypotenuse^{2}

rewriting

opposite^{2}=hypotenuse^{2}-adjacent^{2}

opposite= \sqrt{hypotenuse^{2}-adjacent^{2}}

replacing we have

opposyte= \sqrt({13^{2} }- 5^{2})

opposyte=\sqrt{169-25}

opposyte= \sqrt{144}

opposyte= 12

now replaced in the formula of sin we have

sinx=\frac{opposite}{hypotenuse}  

sinx=12/13

sinx=0.92

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