X010 Trigonometry Find Angle From 3 Sides

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| By Anthony Nunan
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Anthony Nunan
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| Attempts: 65 | Questions: 30
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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.

Submit
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About This Quiz
X010 Trigonometry Find Angle From 3 Sides - Quiz


When asked for a fraction, do not simplify ie if the answer is 2/4 do not simplify to 1/2

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 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.

Submit
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 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.

Submit
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 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.

Submit
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 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.

Submit
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 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.

Submit
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 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.

Submit
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 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.

Submit
9. 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.

Submit
10. 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.

Submit
11. 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.

Submit
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.

Submit
13. 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.

Submit
14. 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.

Submit
15. 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.

Submit
16. 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.

Submit
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.

Submit
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.

Submit
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.

Submit
20. 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.

Submit
21. 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.

Submit
22. 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.

Submit
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.

Submit
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.

Submit
25. 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.

Submit
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.

Submit
27. 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.

Submit
28. 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.

Submit
29. 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.

Submit
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.

Submit
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