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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 9: Q1. (page 337)

Find $A B .$ In Exercise $3,$ $\overset{炉}{C B}$ is tangent to $鈯� A .$

Short Answer

Expert verified

The length of, $A B = 15$ .

Step by step solution

Step 1. Given information.

The given figure is as follows,

Step 2. Formula used.

$\tan 胃 = \frac{Opposite side}{Adjacent side}$

Step 3. Put the data from the given figure.

$\begin{array}{l} \tan 胃 = \frac{Oppositeside}{Adjacentside} \\ \tan 30 掳 = \frac{A C}{A B} \\ \frac{1}{\sqrt{3}} = \frac{5 \sqrt{3}}{A B} \\ A B = 5 (3) \\ = 15 \end{array}$