Question

Find the value of x to the nearest tenth.

Answer 1

x = 8 .0 .

Explanation:

Given : A right triangle with hypotenuse 10 units and angle 53 , 37 degree.

To find : Find the value of x to the nearest tenth.

Solution : We have given

Hypotenuse = 10 units.

Opposite side = x .

Adjacent side = y.

By the trigonometric ratio : sin(theta) =
`(opposite)/(hypotenuse)`.

sin(53) =
`(x)/(10)`.

0.798 =
`(x)/(10)`.

On multiplying 10 both sides.

0.798 * 10 = x

7.98 = x

Rounded to nearest tenth x = 8 .0

Therefore, x = 8 .0

Answer 2

x = 8.0

Explanation:

sin theta = opposite/ hypotenuse

sin 53 = x/10

Multiply by 10 on each side

10 sin 53= x

7.9863551 =x

Rounding to the nearest tenth

8.0 =x