Question

Find the value of x to the nearest tenth.

Answer 1

Answer:

8.0

Step-by-step explanation:

Sin theta = opposite /hypotenuse

sin 53 = x/10

Multiply each side by 10

10 sin 53 = x

7.9863551

To the nearest tenth

x = 8.0

Answer 2

Answer:  0.8

Step-by-step explanation:

From the given picture, it can be seen that there is a right triangle,

Such that the side opposite to right angle (hypotenuse) =10 units

By using trigonometry , we get

$\sin(53^{\circ})=\dfrac{\text{side opposite to } \sin(353{\circ})}{\text{Hypotenuse}}\\\\\Rightarrow\ 0.79863551004=\dfrac{x}{10}\\\\\Rightarrow\ x=10\cdot0.79863551004\\\\\Rightarrow\ x07.9863551004\approx8.0\ units$

Hence, the value of x to the nearest tenth = 0.8 units