Type your answer If the hypotenuse has a length of 10 and the sine of an angle equals 0.3 , what is the length of the side opposite the angle?

Question

UpStudy AI · Accepted Answer

To find the length of the side opposite the given angle in a right triangle, you can use the definition of the sine function:

$$
\sin(\theta) = \frac{\text{Opposite Side}}{\text{Hypotenuse}}
$$

Given:
- $$\sin(\theta) = 0.3$$
- Hypotenuse = 10

Plugging in the values:

$$
0.3 = \frac{\text{Opposite Side}}{10}
$$

To find the Opposite Side:

$$
\text{Opposite Side} = 0.3 \times 10 = 3
$$

**Answer:** The length of the side opposite the angle is 3 units.
The length of the side opposite the angle is 3 units.

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