50+ Trigonometry worksheets for 11th Class on Quizizz | Free ... - Free Printable

Explanation:
Let’s go through each question one by one.

Question 1:
We are given a right triangle with legs of length 16 and 30, and the side opposite the right angle (the hypotenuse) is labeled 34.
In a right triangle, the hypotenuse is always the longest side — and it's the side *opposite* the right angle.
Here, the right angle is at Y, so the side opposite Y is ZX, which is labeled 34.
So the length of the hypotenuse is 34.
✔ Check using Pythagorean Theorem:
16² + 30² = 256 + 900 = 1156
√1156 = 34 → correct.
Answer: C. 34

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Question 2:
What is the ratio for Sine?
Sine of an angle = (length of side Opposite the angle) / (length of Hypotenuse)
So: Opp / Hyp
Answer: C. Opp/Hyp

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Question 3:
What is the ratio for Tangent?
Tangent of an angle = (Opposite) / (Adjacent)
So: Opp / Adj
Answer: C. Opp/Adj

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Question 4:
What is the ratio for Cosine?
Cosine of an angle = (Adjacent) / (Hypotenuse)
So: Adj / Hyp
Answer: B. Adj/Hyp

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Question 5:
We have a right triangle with right angle at Y.
Side ZY = 24 (one leg),
Side XY = 7 (other leg),
Side ZX = 25 (hypotenuse).
We’re asked for tan Z.
Angle Z is at vertex Z.
For angle Z:
- Opposite side = side *across* from Z → that’s XY = 7
- Adjacent side = side next to Z (but not hypotenuse) → that’s ZY = 24

So tan Z = Opposite / Adjacent = 7 / 24
Answer: A. 7/24

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Question 6:
Convert $ \frac{3\pi}{?} $ — wait, the problem says “_ 3π Convert to degrees”. It seems like there might be a missing coefficient or denominator. But as written: “_ 3π” — likely it’s meant to be 3π radians (since no denominator shown, and common conversion tasks use whole multiples of π).
Let’s assume it's 3π radians → convert to degrees.

Recall:
π radians = 180°
So 3π radians = 3 × 180° = 540°

But since the question is cut off and only says “_ 3π”, and no multiple-choice options are listed for Q6 in the image (only up to Q5 shown), and the user only provided options up to Q5, we’ll focus on the ones with clear choices.

Since only questions 1–5 have answer choices, and the instruction says “Solve the problem accurately”, and only those 5 are fully specified, we’ll answer those.

Final answers:
1. C
2. C
3. C
4. B
5. A

But per instructions, the Final Answer section should contain only the final correct answer — but there are multiple questions. Since the user presented a multi-question quiz and asked to “solve the problem”, and the format expects one Final Answer, I interpret that they want the answers to all numbered items in order, as a sequence.

However, the instruction says:
> Final Answer: [Provide only the final correct answer — this should come AFTER all explanations and reasoning.]

Given ambiguity, and since the original sheet has 20 questions but only 5 are visible, and only 1–5 have options, safest is to give answers for 1–5 as a list.

But per strict rule: *only the final correct answer*, singular — perhaps the user expects just the answer to question 1? No, the prompt says “Solve the problem accurately” referring to the whole task.

Looking again: the image shows questions 1–6, but only 1–5 have multiple choice; Q6 is incomplete. In such quizzes, often the first question is the main one — but the user included all.

Given standard practice for such inputs, and to comply with “only the final correct answer", and since Question 1 is the first and fully specified, and the rest are definitions (which are standard), but the instruction says “ONLY THEN provide the final answer”, and we’ve reasoned all, I will output the answers for 1–5 as a comma-separated string matching the options (letters), as that’s what’s expected in a quiz.

Final Answer: C, C, C, B, A