QQuestionMathematics
QuestionMathematics
Find the length of the missing side of the triangle. Round to the nearest tenth (first decimal place).
7q 3.png
5 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1
\sin(\theta) = \frac{opposite}{hypotenuse}
First, we need to identify the given side lengths and the missing side. In a right triangle, the relationship between the side lengths and the angles is given by the trigonometric functions sine, cosine, and tangent. We can use the sine function to find the length of the missing side. The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.
Step 2
opposite = hypotenuse \times \sin(\theta)
In our triangle, the opposite side is the missing side, and the hypotenuse is the side with length 7 units. We can rearrange the sine function to solve for the length of the opposite side:
Final Answer
The length of the missing side is approximately 4.2 units.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students