Determine if you need to apply ambiguous case or not

Determine if you need to apply ambiguous case or not

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a triangle problem using the sine rule. It starts by setting up the problem with given angles and sides, then calculates angle C using a calculator. The tutorial explores a second case for angle C but concludes that only one case is valid due to the sum of angles exceeding 180 degrees.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in setting up the equation to find angle C using the sine rule?

Use the cosine rule

Place the sines of angles over their opposite sides

Subtract 180 from the given angle

Cross-multiply the sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you isolate the sine of angle C in the equation?

Cross-multiply by 15 on both sides

Add 15 to both sides

Divide by 17 on both sides

Subtract 82 from both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What function is used to find the angle from its sine value?

Sine inverse

Logarithm

Tangent inverse

Cosine inverse

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated value of angle C in degrees?

60.9 degrees

90 degrees

82 degrees

119 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is only one solution for angle C valid in this problem?

The sum of angles exceeds 180 degrees

The triangle is not a right triangle

The given angle is less than 90 degrees

The sides are not proportional