Math Problem Statement
حساب ab
Solution
The diagram you provided shows a right triangle with one angle marked as 73°, a right angle at point A, and a length of 22 for one side (most likely the adjacent side to the 73° angle). Let's proceed to find the length of side , which I assume is the hypotenuse.
We can use trigonometric relationships, specifically the cosine function, since we have the adjacent side (22) and the angle (73°). The cosine function is defined as:
In this case:
We can solve for :
Let me calculate that for you.The length of side (the hypotenuse) is approximately 75.25 units.
Do you need further details on this solution, or have any other questions?
Here are 5 related questions to expand on this:
- How can you find the length of side using trigonometric functions?
- What is the sine of angle in this triangle?
- Can you verify the area of this triangle using the calculated hypotenuse?
- How would you solve this triangle if the angle given were different?
- What is the value of angle in this triangle?
Tip: Always remember to check if you're working with degrees or radians when using trigonometric functions!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right Triangle Properties
Formulas
cos(θ) = adjacent/hypotenuse
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 9-12
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