Now You Try

<p>A ladder leans against a wall, as shown. How long is the ladder, to the nearest tenth of a metre?</p><img src="/qimages/1042" />

<p>Solve <code class='latex inline'>\triangle ABC</code>.</p><img src="/qimages/1034" />

<p>Solve for <code class='latex inline'>i</code> and <code class='latex inline'>j</code>.</p><img src="/qimages/1041" />

<p>Solve each triangle. Round the measure of each angle to the nearest
degree. Round the length of each side to the nearest unit.</p><p> <img src="/qimages/1045" /></p>

<p>Solve for <code class='latex inline'>x</code>, to one decimal place, using the indicated trigonometric ratio.</p><p>cosine</p><img src="/qimages/1030" />

<p>Solve each triangle. Round the measure of each angle to the nearest
degree. Round the length of each side to the nearest unit.</p><img src="/qimages/1044" />

<p>Isabelle is flying a kite on a windy day. When the kite is 15 m above
ground, it makes an angle of 50<code class='latex inline'>^{\circ}</code> with the horizontal. If Isabelle is
holding the string 1 m above the ground, how much string has she
released? Round your answer to the nearest metre.</p><img src="/qimages/1047" />

<p>For each triangle,</p><p> determine <code class='latex inline'>x</code> to the nearest unit</p><img src="/qimages/1035" />

<p>Solve each triangle. Round the measure of each angle to the nearest
degree. Round the length of each side to the nearest unit.</p><p> <img src="/qimages/1043" /></p>

<p>For each triangle,</p>
<ul>
<li><strong>i)</strong> state two trigonometric ratios you could use to determine <code class='latex inline'>x</code></li>
<li><strong>ii)</strong> determine <code class='latex inline'>x</code> to the nearest unit</li>
</ul>
<p> <img src="/qimages/1036" /></p>

<p>Solve for <code class='latex inline'>x</code>, to one decimal place, using the indicated trigonometric ratio.</p><p>tangent</p><img src="/qimages/1031" />

<p>A telephone pole is secured at its top with a guy wire, as shown. The guy wire makes an angle of 70° with the ground and is secured <code class='latex inline'>5.6</code> m from the bottom of the pole. Find the height of the telephone pole.</p><img src="/qimages/1618" />

<p>Bill was climbing a 6.0 m ladder, which was placed against a wall
at a 76<code class='latex inline'>^{\circ}</code> angle. He dropped one of his tools directly below the ladder.
The tool landed 0.8 m from the base of the ladder. How far from
the top of the ladder was Bill?</p><img src="/qimages/1048" />

<p>Janice is getting ready to climb a steep cliff She needs to fasten herself to
a rope that is anchored at the top of the cliff. To estimate how much rope
she needs, she stands 50 m from the base of the cliff and estimates that
the angle of elevation to the top is 70<code class='latex inline'>^{\circ}</code>. How high is the cliff?</p><img src="/qimages/1040" />