Chapter Review of Trig
Chapter
Chapter 8
Section
Chapter Review of Trig
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Solutions 15 Videos

Jane claims that she can draw an acute triangle using the following information: a = 6 cm, b = 8 cm, c = 10 cm, \angle A = 30^o, and \angle B = 60^o. Is she correct? Explain.

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Q1

Which of the following are not correct for acute triangle DEF?

a) \displaystyle \frac{d}{\sin D} = \frac{f}{\sin F}

b) \displaystyle \frac{\sin E}{e} = \frac{\sin D}{d}

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Q2

Calculate the indicated side length or angle measure in each triangle.

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Q3a

Calculate the indicated side length or angle measure in each triangle.

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Q3b

In \triangle ABC, AB = 31°, 5 = 22 cm, and t = 12 cm. Determine \angle C.

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Q4

Solve \triangle ABC, if \angle A = 75^o, \angle B = 50^o, and the side between these angles is 8.0 cm.

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Q5

Allison is flying a kite. She has released the entire 150 m ball of kite string. She notices that the string forms a 70° angle with the ground. Marc is on the other side of the kite and sights the kite at an angle of elevation of 30°. How far is Marc from Allison?

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Q6

Which of these is not a form of the cosine law for \triangle ABC. Why not?

a) a^2 = b^2 +c^2 -2bc\cos B

b) c^2 = a^2 + b^2 -2ab\cos C

c) b^2 = a^2 + c^2 -2ac\cos B

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Q7

Calculate the indicated side length or angle measure.

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Q8a

Calculate the indicated side length or angle measure.

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Q8b

Solve \triangle ABC, if \angle A = 58°, b= 10.0cm,and c = 14.0 cm.

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Q9

Two airplanes leave an airport at the same time. One airplane travels at 355 km/h. The other airplane travels at 450 km/h. About 2 h later, theyare800kmapart.Determine the angle between their paths.

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Q10

From the top of an 8 m house, the angle of elevation to the top of a flagpole across the street is 9°. The angle of depression is 22° to the base of the flagpole. How tall is the flagpole?

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Q11

A bush pilot delivers supplies to a remote camp by flying 255 km in the direction N52°E. While at the camp, the pilot receives a radio message to pick up a passenger at a village. The village is 85 km 521°E from the camp. What is the total distance that the pilot will have flown by the time he returns to his starting point?

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Q12

A canoeist starts from a dock and paddles 2.8 km N34°E. Then she paddles 5.2 km N65°W What distance, and in which direction, should a second canoeist paddle to reach the same location directly, starting from the same dock?

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Q13