Math Problem Statement
Solution
The image you provided contains two right triangles, and the problem requires solving for unknown sides labeled as . The given angles and side lengths will allow us to use trigonometric functions (sine, cosine, or tangent) to solve for the missing side.
Triangle 4:
- Angle:
- Side adjacent to the angle: 32
We need to find the side labeled . For this, we can use the tangent function: where:
- The adjacent side is 32.
So, we solve for the opposite side ().
Triangle 8:
- Angle: We need to use the angle, but we don't have the value explicitly. However, it is the complementary angle to the right angle, which is minus the given angle. We can use this information to find the angle and then apply trigonometry to solve for .
If you want to go step-by-step with specific calculations, feel free to let me know! Would you like to proceed with that?
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right Triangles
SOHCAHTOA
Formulas
tan(θ) = opposite / adjacent
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
Theorems
Pythagorean Theorem
Basic Trigonometric Ratios
Suitable Grade Level
Grades 9-11
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