Math Problem Statement
Solution
The image you uploaded contains a right triangle where you need to find the angle . To solve this, we can use trigonometric functions.
Given:
- Hypotenuse = 21
- Adjacent side = 18
We will use the cosine function, which relates the angle, adjacent side, and hypotenuse:
Substitute the given values:
Now, to find , take the inverse cosine:
Let me calculate that. math
Calculate the angle in degrees
cos_x = 18 / 21 x = math.degrees(math.acos(cos_x)) xThe value of is approximately , rounded to the nearest tenth.
Do you need any further details or clarifications on this problem?
Here are some related questions to consider:
- How do you calculate the other angles in a right triangle?
- What is the sine function, and how can it be used to find angles?
- How would you find the missing side in a right triangle if one angle and the hypotenuse are known?
- What is the tangent function, and how is it applied in right triangle problems?
- How do you solve for unknowns using the Pythagorean Theorem?
Tip: Always check if the given triangle is a right triangle before applying trigonometric ratios!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right Triangles
Cosine Function
Formulas
cos(x) = Adjacent / Hypotenuse
x = cos^{-1}(value)
Theorems
Trigonometric ratios in right triangles
Suitable Grade Level
Grades 8-10