Question

What is the answer to this question?

Answer 1

The correct answer is y = 6.0

Explanation:

From the figure we can see a right angled triangle

points to remember

Sinθ = Opposite side/Hypotenuse

To find the value of y

Here y is the opposite side of angle 37° and hypotenuse = 10

Sin (37) = Opposite side/Hypotenuse= y/10

y = 10 * sin(37) = 10 * 0.6018 = 6.018 ≈ 6.0

Answer 2

Answer:
`y=6.0`

Explanation:

The trigonometric identity you can use to calculate the value of "y" is:

`cos\alpha=(adjacent)/(hypotenuse)`

Where the angle
`\alpha=53\°`, the adjacent side is "y" and the hypotenuse of the right triangle is 10:

`\alpha=53\°\\adjacent=y\\hypotenuse=10`

Substitute these values into
`cos\alpha=(adjacent)/(hypotenuse)` and solve for the adjacent side "y":

`cos(53\°)=(y)/(10)\\(10)(cos(53\°))=y\\6.01=y`

Rounded to the nearest tenth:

`y=6.0`