Problem 1: From the top of a cliff in Billings, a surveyor simultaneously measures the angle of depression between two markers, which are 140 feet apart, to estimate the width of the Yellows River. The angle of depression from two consecutive markers are 15.3* and 21.8°. Use the diagra below to estimate the width of the Yellowstone River
Problem 1: From the top of a cliff in Billings, a surveyor simultaneously measures the angle of depression between two markers, which are 140 feet apart, to estimate the width of the Yellows River. The angle of depression from two consecutive markers are 15.3* and 21.8°. Use the diagra below to estimate the width of the Yellowstone River
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
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Transcribed Image Text:**Problem 1:** From the top of a cliff in Billings, a surveyor simultaneously measures the angle of depression between two markers, which are 140 feet apart, to estimate the width of the Yellowstone River. The angle of depression from two consecutive markers are 15.3° and 21.8°. Use the diagram below to estimate the width of the Yellowstone River.
**Diagram Explanation:**
The diagram shows a side view of a cliff with a river at the bottom. Two markers, labeled A and B, are situated on opposite sides of the river bank. The distance from the cliff to the first marker (A) is marked as 120 feet. The distance between the two markers, A and B, is marked as 140 feet, spanning the river. The angles of depression from the cliff to markers A and B are given as 15.3° and 21.8° respectively. These angles are used to calculate the width of the river.
The river’s width can essentially be found by applying trigonometric principles, considering the angles of depression and the distances involved.
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