# X010 Trigonometry Find Angle From 3 Sides

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| Written by Anthony Nunan
A
Anthony Nunan
Community Contributor
Quizzes Created: 159 | Total Attempts: 45,981
Questions: 30 | Attempts: 48  Settings  When asked for a fraction, do not simplify ie if the answer is 2/4 do not simplify to 1/2

• 1.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

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• 2.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 3.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 4.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 5.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 6.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 7.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 8.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 9.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 10.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 11.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 12.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 13.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 14.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 15.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 16.

### The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

• 17.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 18.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 19.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 20.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 21.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 22.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 23.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 24.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 25.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 26.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 27.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 28.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 29.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

• 30.

### The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

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