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Write down the ratio for cosD in ACrD .

Ask by Chang Rodriguez. in South Africa
Mar 11,2025

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Answer

The ratio for \(\cos D\) in triangle \(ACrD\) is \(\frac{b}{c}\), where \(b\) is the adjacent side and \(c\) is the hypotenuse.

Solution

To find the ratio for \(\cos D\) in triangle \(ACrD\), we need to understand the context of the triangle and the angles involved. Assuming \(D\) is an angle in triangle \(ACrD\), the cosine of angle \(D\) can be expressed in terms of the lengths of the sides of the triangle. The cosine of an angle in a triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. If we denote: - \(a\) as the length of the side opposite angle \(D\), - \(b\) as the length of the adjacent side to angle \(D\), - \(c\) as the length of the hypotenuse, Then the ratio for \(\cos D\) can be expressed as: \[ \cos D = \frac{b}{c} \] If you have specific lengths for the sides or additional information about triangle \(ACrD\), please provide that, and I can give a more detailed answer.

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Bonus Knowledge

In a right triangle ACrD, where angle D is one of the angles, the cosine of angle D (cosD) is defined as the ratio of the length of the adjacent side (AC) to the length of the hypotenuse (ArD). So, you can express it mathematically as: cosD = AC / ArD. This basic trigonometric ratio helps you understand the relationships within right triangles and can be useful in solving various problems related to angles and distances! To put this into practice, imagine you're at the top of a hill and wish to determine how far you are straight down the slope to the base. By measuring the height (AC) and the distance along the slope (ArD), using cosD can help you find the angle and calculate other missing lengths, making it crucial for fields like navigation, architecture, and even video game design!

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