X = A 21.6 B 12.9 C 9.1

Mathematics

2 answers:

Artist 52 [7]2 years ago

6 0

Answer:

B: 12.9

Step-by-step explanation:

If A B and C are the alternatives, the answer is B: 12.9

The reason is that the hypotenuse can't be smaller than one of its sides, that eliminates alternative C.

And also, the hypotenuse can't be bigger than segments AC + BC, since the side AC is bigger and AC measures 10.8, the hypotenuse would have to measure < 21.6

Any questions, comment.

Sever21 [200]2 years ago

6 0

Answer:

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = $\frac{opposite}{hypotenuse}$ = $\frac{AC}{AB}$ = $\frac{12}{x}$ ( multiply both sides by x )

x × sin57° = 12 ( divide both sides by sin57° )

x = $\frac{12}{sin57}$ ≈ 12.9 ( to 1 dec. place ) → B

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What are the ratios for SIN A and COS A

miskamm [114]

Answer:

Step-by-step explanation:

A good trick for trigonometric functions is to remember SOHCAHTOA:

Sin=Opposite over Hypotenuse

Cos=Adjacent over Hypotenuse

Tan=Opposite over Adjacent

The red arrows on the attachment indicate where opposite, hypotenuse, and adjacent are for angle A.

So in this case, the sin of angle A (opposite over hypotenuse) would be $\frac{24}{26}$ and cos A (adjacent over hypotenuse) would be $\frac{10}{26}$ .