Math Problem Statement
Solution
The image you uploaded contains several geometry problems, which appear to involve right triangles. Let's break down the problems:
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Problem 10: You have a right triangle with one angle of 64° and a side of length 42. You're asked to find the length of side . This can be solved using trigonometric ratios such as sine, cosine, or tangent, depending on the missing information.
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Problem 11: Here, you have a right triangle where the angle is 70° and the side opposite to it has a length of 13. You need to find the length of side . Again, trigonometric functions will be used.
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Problem 12: You are asked to find in triangle , where the right angle is at . Side has a length of 20, and angles are given as 54° and 28°. You can apply the Law of Sines or the Law of Cosines to solve this.
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Problem 14: A 30-foot tall telephone pole is connected to the ground with a wire that forms a 48° angle with the pole. You're asked to find the length of the wire. This is another trigonometry problem, which can be solved using the sine or cosine rule.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right Triangles
Law of Sines
Law of Cosines
Formulas
sin(θ) = opposite/hypotenuse
cos(θ) = adjacent/hypotenuse
tan(θ) = opposite/adjacent
Theorems
Law of Sines
Law of Cosines
Suitable Grade Level
Grades 9-12
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