Mid Chapter Review
Chapter
Chapter 8
Section
Mid Chapter Review
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Solutions 11 Videos

What relationship(s) does the sine law describe in the acute triangle XYZ?

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Q1

Why are you more likely to use the sine law for acute triangles than for right triangles?

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Q2

\triangle DEF is an acute triangle. Nate claims that \frac{d}{\sin F} = \frac{f}{\sin D}. Do you agree or disagree?

Explain.

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Q3

Two fire towers in a park are 3.4 km apart. When the park rangers on duty spot a fire, they can locate the fire by measuring the angle between the fire and the other tower. Fire is located 53^o from one tower and 65^o from the other tower.

a) Which tower is closer to the fire?

b) Determine the distance from the closest tower to the fire.

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Q7

As Chloe and Ivan canoe across a lake, they notice a campsite ahead at an angle of 22^o to the left of their direction of paddling. After continuing to paddle in the same direction for 800 m, the campsite is behind them at an angle of 110^o to their direction of paddling. How far away is the campsite at the second sighting?

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Q8

Calculate the perimeter of an isosceles triangle with a base of 25 cm and only one angle of 50^o.

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Q9a

Calculate the perimeter of an isosceles triangle with a base of 30 cm and only one angle of 55^o.

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Q9b