Right Triangle Practice Test
Chapter
Chapter 7
Section
Right Triangle Practice Test
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Solutions 11 Videos

Determine the indicated side lengths in the triangles.

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Q1

Two trees cast a shadow when the Sun is up. The shadow of one tree is 12.1 m long. The shadow of the other tree is 7.6 m long. If the shorter tree is 5.8 m tall, determine the height of the taller tree. Round your answer to the nearest tenth of a metre.

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Q2

Determine each unknown value. Round your answer to one decimal place.

a) \sin 28^o = \frac{x}{5}

b) \cos 43^o = \frac{13}{y}

c) \tan A = 7.1154

d) \cos B = \frac{7}{9}

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Q3

Determine the length of the indicated side or the measure of the indicated angle.

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Q4a

Determine the length of the indicated side or the measure of the indicated angle.

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Q4b

Solve the triangle

In \triangle ABC, \angle A = 90^o, \angle B = 14^o, and b = 5.3 cm.

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Q5a

Solve the triangle

In \triangle DEF, \angle F = 90^o, d = 7.8 mm, and e = 6.9 mm.

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Q5b

A ramp has an angle of elevation of 4.8° and a rise of 1.20 m, as shown at the left. How long is the ramp and what is its run? Round your answers to the nearest hundredth of a metre.

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Q6

Surveyors need to determine the width of a river. Explain how they can do this without crossing the river. Use a diagram to illustrate your answer.

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Q7

Jane is on the fifth floor of an office building 16 m above the ground. She spots her car and estimates that it is parked 20 m from the base of the building. Determine the angle of depression to the nearest degree.

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Q8

A pilot who is heading due north spots two forest fires. The fire that is due east is at an angle of depression of 47°. The fire that is due west is at an angle of depression of 38°. What is the distance between the two fires, to the nearest metre, if the altitude of the airplane is 2400 m?

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Q9