A person standing d = 153 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is a = 12°, while the angle of elevation to the top of the mirror is b = 15°. Find the vertical dimension of the mirror.

A person standing d = 153 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is a = 12°, while the angle of elevation to the top of the mirror is b = 15°. Find the vertical dimension of the mirror.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.4: Applications

Problem 14EQ

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Question

A person standing

d = 153

centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is

a = 12°,

while the angle of elevation to the top of the mirror is

b = 15°.

Find the vertical dimension of the mirror.

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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