0.6

","IsCorrect":false,"ExplanationText":"

Find the length of the hypotenuse (AC) using the Pythagorean theorem.

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34

AC = √34 cm (approximately 5.83 cm)

Step 2: Calculate sin C.

In a right-angled triangle, sin C = Opposite side / Hypotenuse.

The side opposite to angle C is AB.

sin C = AB / AC

sin C = 5 / √34

Step 3: Evaluate the numerical value.

sin C ≈ 5 / 5.83

sin C ≈ 0.857

","optionImage":"","explanationImage":"","_id":"6858da693e55379146fd3cee"},{"OptionLetter":"B","OptionText":"

0.8

","IsCorrect":true,"ExplanationText":"

Find the length of the hypotenuse (AC) using the Pythagorean theorem.

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34

AC = √34 cm (approximately 5.83 cm)

Step 2: Calculate sin C.

In a right-angled triangle, sin C = Opposite side / Hypotenuse.

The side opposite to angle C is AB.

sin C = AB / AC

sin C = 5 / √34

Step 3: Evaluate the numerical value.

sin C ≈ 5 / 5.83

sin C ≈ 0.857

","optionImage":"","explanationImage":"","_id":"6858da693e55379146fd3cef"},{"OptionLetter":"C","OptionText":"

1

","IsCorrect":false,"ExplanationText":"

Find the length of the hypotenuse (AC) using the Pythagorean theorem.

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34

AC = √34 cm (approximately 5.83 cm)

Step 2: Calculate sin C.

In a right-angled triangle, sin C = Opposite side / Hypotenuse.

The side opposite to angle C is AB.

sin C = AB / AC

sin C = 5 / √34

Step 3: Evaluate the numerical value.

sin C ≈ 5 / 5.83

sin C ≈ 0.857

","optionImage":"","explanationImage":"","_id":"6858da693e55379146fd3cf0"},{"OptionLetter":"D","OptionText":"

0.5

","IsCorrect":false,"ExplanationText":"

Find the length of the hypotenuse (AC) using the Pythagorean theorem.

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34

AC = √34 cm (approximately 5.83 cm)

Step 2: Calculate sin C.

In a right-angled triangle, sin C = Opposite side / Hypotenuse.

The side opposite to angle C is AB.

sin C = AB / AC

sin C = 5 / √34

Step 3: Evaluate the numerical value.

sin C ≈ 5 / 5.83

sin C ≈ 0.857

","optionImage":"","explanationImage":"","_id":"6858da693e55379146fd3cf1"}],"ExplanationText":"

Find the length of the hypotenuse (AC) using the Pythagorean theorem.

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34

AC = √34 cm (approximately 5.83 cm)

Step 2: Calculate sin C.

In a right-angled triangle, sin C = Opposite side / Hypotenuse.

The side opposite to angle C is AB.

sin C = AB / AC

sin C = 5 / √34

Step 3: Evaluate the numerical value.

sin C ≈ 5 / 5.83

sin C ≈ 0.857

","ExplanationImage":"","Published":true,"Hints":[],"referencePdfs":[],"bookReferences":[],"tip":"","isSAQ":false,"SAQAnswer":"","SAQAnswerImage":"","createdAt":"2025-05-11T07:36:54.337Z","updatedAt":"2026-08-16T17:02:49.913Z","__v":1}}]}]}]