You are climbing a mountain by the steepest route at a slope of 25∘ when you come upon a trail branching off at a 45∘ angle from yours. What is the angle of ascent of the branch trail? angle (degrees)=

You are climbing a mountain by the steepest route at a slope of 25∘ when you come upon a trail branching off at a 45∘ angle from yours. What is the angle of ascent of the branch trail? angle (degrees)=

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.2: Trigonometric Functions Of Angles

Problem 20E

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Concept explainers

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

You are climbing a mountain by the steepest route at a slope of 25∘ when you come upon a trail branching off at a 45∘ angle from yours. What is the angle of ascent of the branch trail?

angle (degrees)=

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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