Percé Rock is located on the shore of the Gaspé Peninsula in Québec. The measurements shown were taken at low tide. Find the height of the rock, to the nearest metre. CA D 41° 54° 51 100 m

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 29E
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- Percé Rock is located on the shore of the Gaspé Peninsula in Québec. The measurements
shown were taken at low tide. Find the height of the rock, to the nearest metre.
D
41°
54°
51°
100 m
Transcribed Image Text:- Percé Rock is located on the shore of the Gaspé Peninsula in Québec. The measurements shown were taken at low tide. Find the height of the rock, to the nearest metre. D 41° 54° 51° 100 m
3. A cat, sitting on the top of a 9,5 m tree, spots a dog and a firefighter, both on the flat ground
below. The cat observes the dog at an angle of depression of 70° south of the tree and the
firefighter at an angle of depression 30° east of the tree. Partially completed diagram is shown.
C
a) Fully label the diagram, show all given angles and right angles.
b) Is DTF a right triangle? Explain how you know.
c) Determine how far the firefighter is from the dog, to the nearest tenth of metre.
Transcribed Image Text:3. A cat, sitting on the top of a 9,5 m tree, spots a dog and a firefighter, both on the flat ground below. The cat observes the dog at an angle of depression of 70° south of the tree and the firefighter at an angle of depression 30° east of the tree. Partially completed diagram is shown. C a) Fully label the diagram, show all given angles and right angles. b) Is DTF a right triangle? Explain how you know. c) Determine how far the firefighter is from the dog, to the nearest tenth of metre.
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