Question 5.6.6: Finding the height of an object A guy wire of length 108 met...

Finding the height of an object

A guy wire of length 108 meters runs from the top of an antenna to the ground. If the angle of elevation of the top of the antenna, sighting along the guy wire, is 42.3°, then what is the height of the antenna?

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Let y represent the height of the antenna, as shown in Fig. 5.87. Since sin(42.3°) = y/108,

y=108 \cdot \sin \left(42.3^{\circ}\right) \approx 72.7 \text { meters. }

Three significant digits are used in the answer because both of the given measurements contain three significant digits.

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