A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°. Another person at point B, notes that the angle of elevation to the top of the cliff is 45°. If the height of the cliff is 80.0 m, find the distance between A and B. 30° 45° A B
A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°. Another person at point B, notes that the angle of elevation to the top of the cliff is 45°. If the height of the cliff is 80.0 m, find the distance between A and B. 30° 45° A B
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 30E
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
![A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°. Another person at point B, notes that the angle of
elevation to the top of the cliff is 45°. If the height of the cliff is 80.0 m, find the distance between A and B.
30°
45°
B
A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69e37c8f-451b-4478-b13e-60684ae448ae%2F2a03ee7a-863d-4896-8ed2-d0e5c3b10dd9%2F6s9g27j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°. Another person at point B, notes that the angle of
elevation to the top of the cliff is 45°. If the height of the cliff is 80.0 m, find the distance between A and B.
30°
45°
B
A
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GIVEN HEIGHT OF CLIFF , DC=80m
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