Answer 66 ∘ Explanation Given information: If raindrops are falling toward Earth at a speed of 45 miles per hour and a horizontal wind is blowing at a speed of 20 miles per hour. Calculation: We have two sides of the triangle and want to find an angle. We use trig ratios. Since the sides we know are the opposite and adjacent, we use the arc tangent to find the angle. tan − 1 45 20 = 66 ∘ Thus, angle is 66 ∘ .

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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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.

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Question

Chapter 5.6, Problem 36E

To determine

To find: The angle at which the drops hit the ground.

Expert Solution & Answer

Answer to Problem 36E

66∘

Explanation of Solution

Given information: If raindrops are falling toward Earth at a speed of 45 miles per hour and a horizontal wind is blowing at a speed of 20 miles per hour.

Calculation:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.6, Problem 36E

We have two sides of the triangle and want to find an angle. We use trig ratios. Since the sides we know are the opposite and adjacent, we use the arc tangent to find the angle.

tan−14520=66∘Thus, angle is 66∘.

Chapter 5.6, Problem 35E

Chapter 5.6, Problem 37E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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