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SCIENCE WORLD This building was constructed for the Expo '86 ...

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2.3<br />

LESSON FOCUS<br />

Determine a height<br />

that cannot be<br />

measured directly.<br />

MATH LAB<br />

84 Chapter 2: Trigonometry<br />

Measuring an Inaccessible Height<br />

Make Connections<br />

Tree farmers use a clinometer to measure <strong>the</strong> angle between a horizontal line and<br />

<strong>the</strong> line of sight to <strong>the</strong> top of a tree. They measure <strong>the</strong> distance to <strong>the</strong> base of <strong>the</strong><br />

tree. How can <strong>the</strong>y <strong>the</strong>n use <strong>the</strong> tangent ratio to calculate <strong>the</strong> height of <strong>the</strong> tree?<br />

Construct Understanding<br />

TRY THIS<br />

Work with a partner.<br />

You will need:<br />

■ an enlarged copy of a 180° protractor<br />

■ scissors<br />

■ a measuring tape or 2 metre sticks<br />

■ a piece of heavy cardboard big enough <strong>for</strong> you to attach <strong>the</strong> paper protractor<br />

■ a drinking straw<br />

■ glue<br />

■ adhesive tape<br />

■ a needle and thread<br />

■ a small metal <strong>was</strong>her or weight<br />

■ grid paper

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