Question

Find X to the nearest tenth.
A) 9.3
B) 9.4
C) 9.5

Answer 1

Choice B is correct answer.

Explanation:

From question statement, we observe that

Perpendicular = x

Hypotenuse = 10

∅ = 70°

We have to find the value of x.

Since we know that sin∅= perpendicular/hypotenuse

Putting the values in above formula,we get

sin70°= x/10

Multiplying above equation by 10,we get

10sin70° = (x/10)10

10sin70° = x

x = 10×.9396

x = 9.396≈9.4

Hence, the value of x is 9.4

Answer 2

Second choice

Explanation:

The unknown leg x in right triangle is opposite to the angle of the measure 70°.

Use the definition of the sine of the angle:

`\sin 70^(\circ)=\frac{\text{opposite leg}}{\text{hypotenuse}}=(x)/(10).`

Hence,

`x=10\sin 70^(\circ)\approx 9.4.`