Educator

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Example 1:

A telephone pole casts a shadow 20 feet long. If the sun's rays make a 60^°  angle with the ground, how tall is the pole?

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Example 2:

Civil engineers are planning to build a bridge across a lake, but they can't measure the width of the lake directly. They measure from a point on land that is 280 feet from one end of the planned bridge and 160 feet from the other. If the angle between these two lines measures 80^° , then how long will the bridge be?

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Example 3:

A farmer measures the fences along the edges of a triangular field as 160 feet, 240 feet, and 300 feet. What is the area of the field?

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Example 4:

A child is flying a kite on 200 feet of string. If the kite string makes an 40^°  angle with the ground, how high is the kite?

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Example 5:

Two straight roads lead from different points along the coast to an inland town. Surveyors working on the coast measure that the roads are 12 miles apart and make angles of 40^°  and 110^°  with the coast. How far is it to the town along each of the roads?

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