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

Determine the indicated side lengths in the triangles. 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.

Q2

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}

Q3

Determine the length of the indicated side or the measure of the indicated angle. Q4a

Determine the length of the indicated side or the measure of the indicated angle. Q4b

Solve the triangle

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

Q5a

Solve the triangle

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

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.

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.