Trigonometry help! (Precalculus with Limits 2e)

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1

<p>I'm having problems with these questions.</p>

<p>Find "d"
(All angles are in degrees.)</p>

<p><a href="http://oi41.tinypic.com/260pmk9.jpg%5B/url%5D"&gt;http://oi41.tinypic.com/260pmk9.jpg&lt;/a&gt;&lt;/p>

<p>Figure not drawn to scale.</p>

2

<p>Assuming the angles on the left/right vertices are right angles, for sake of clarity, let A be the left vertex, B be the right one (with AB = 30km), and CD be an altitude if triangle ABC.</p>

<p>One way to proceed is as follows: note that AD = d tan 76, and DB = d tan 56. Then AD = d(tan 56 + tan 76) = 30, so d = 30/(tan 56 + tan 76).</p>

3

<p>Thanks a bunch!</p>