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,

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,

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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.

1. A steep mountain is inclined 74 degrees to the horizontal and rises 3400 ft above the
surrounding plain. A cable car is to be installed from a point 800 ft from the base to the top of
the mountain, as shown. Find the shortest length of the cable needed.
1 3400 ft
74°
800 ft-

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