Now You Try

<p> Find the tangent of the other acute angle, to four decimal places. </p><img src="/qimages/2375" />

<p>Find the length of the unknown side, to the nearest tenth.</p><img src="/qimages/2380" />

<p>The shadow of a tree that is 12 m tall measures 9 m in length. Determine the angle of elevation of the sun.</p>

<p> Find the tangent of the other acute angle, to four decimal places. </p><img src="/qimages/2372" />

<p>Find the length of <code class='latex inline'>x</code>, to the nearest tenth of a metre. </p><img src="/qimages/2383" />

<p>Find the tangent of the angle indicated to four decimal places.</p><img src="/qimages/2370" />

<p>Find the tangent of the angle indicated to four decimal places.</p><img src="/qimages/2372" />

<p>Find the length of <code class='latex inline'>x</code>, to the nearest tenth of a metre.</p><img src="/qimages/2388" />

<p>Find the length of <code class='latex inline'>x</code>, to the nearest tenth of a metre. </p><img src="/qimages/2386" />

<p>Find the length of the unknown side, to the nearest tenth.</p><img src="/qimages/2382" />

<p>Evaluate with a calculator. Record your answer to four decimal places. </p><p><code class='latex inline'>
\displaystyle
\begin{array}{ccccccc}
& a)& \tan65^\circ & b) &\tan15^\circ & c) & \tan62^\circ & d) & \tan30.7^\circ \\
& e)& \tan82.4^\circ & f)& \tan82.4^\circ & g) & \tan20.5^\circ & h) & \tan45^\circ \\
\end{array}
</code></p>

<p> Find the tangent of the other acute angle, to four decimal places. </p><img src="/qimages/2371" />

<p>Find the length of the unknown side, to the nearest tenth.</p><img src="/qimages/2381" />

<p>A surveyor is positioned at a traffic intersection, viewing a marker on the other side of the street. The marker is 19 m from the intersection. The surveyor cannot measure the width directly because there is too much traffic. Find the width of James Street, to the nearest tenth of a metre. </p><img src="/qimages/2391" />

<p>Find the tangent of the angle indicated to four decimal places.</p><img src="/qimages/2374" />

<p> Find the tangent of the other acute angle, to four decimal places. </p><img src="/qimages/2374" />

<p>Find the length of <code class='latex inline'>x</code>, to the nearest tenth of a metre. </p><img src="/qimages/2387" />

<p>Find the measures of both acute angles in each triangle, to the nearest degree. </p><img src="/qimages/2378" />

<p>Find the length of <code class='latex inline'>x</code>, to the nearest tenth of a metre. </p><img src="/qimages/2382" />

<p>Find the tangent of the angle indicated to four decimal places.</p><img src="/qimages/2373" />

<p> Find the tangent of the other acute angle, to four decimal places. </p><img src="/qimages/2373" />

<p>Find the tangent of the angle indicated to four decimal places.</p><img src="/qimages/2375" />

<p>Find the measures of both acute angles in each triangle, to the nearest degree. </p><img src="/qimages/2377" />

<p>Find the length of <code class='latex inline'>x</code>, to the nearest tenth of a metre.</p><img src="/qimages/2389" />

<p>Find the measures of both acute angles in each triangle, to the nearest degree. </p><img src="/qimages/2376" />

<p>Find the tangent of the angle indicated to four decimal places.</p><img src="/qimages/2371" />

<p>To measure the width of a river, Kristie uses a large rock, and oak tree, and an elm tree, which are positioned as shown.</p><img src="/qimages/2390" /><p>Show how Kristie can use the tangent ratio to find the width of the river, to the nearest metre. </p>

<p>Find the length of <code class='latex inline'>x</code>, to the nearest tenth of a metre. </p><img src="/qimages/2385" />

<p>Rocco and Biff are two Koalas sitting at the top of two eucalyptus trees, which are located 10 m apart, as shown. Rocco's tree is exactly half as tall as Biff's tree. From Rocco's point of view, the angle separating Biff and the base of his tree is 70<code class='latex inline'>^\circ</code></p><img src="/qimages/2392" /><p>How high off the ground is each koala?</p>

<p> Find the tangent of the other acute angle, to four decimal places. </p><img src="/qimages/2370" />

<p>Find the measures of both acute angles in each triangle, to the nearest degree. </p><img src="/qimages/2379" />

<p>Find the measure of each angle, to the nearest degree. </p><p><code class='latex inline'>
\displaystyle
\begin{array}{ccccccc}
& a)& \tan\theta=1.5 & b) & \tan A=\frac{3}{4} & c) & \tan B=0.6000 & d) & \tan W=\frac{4}{5}\\
& e)& \tan C=0.8333 & f)& \tan\theta=\frac{6}{7} & g) & \tan X=3.0250 & h) & \tan\theta=\frac{15}{9}
\end{array}
</code></p>

<p>Find the length of <code class='latex inline'>x</code>, to the nearest tenth of a metre. </p><img src="/qimages/2384" />