Measurement Thales, a Greek philosopher, is said to have developed a method to measure the distance to a ship at sea. He made a compass by nailing two sticks together. Standing on top of a tower, he would hold one stick vertical and tilt the other until he could see the ship S along the line of the tilted stick. With this compass setting, he would find a landmark L on the shore along the line of the tilted stick. How far would the ship be from the base of the tower?
Which congruency rule can you use?
You have information about two pairs of angles. Guess-and-check AAS and ASA.
Given:
Prove:
Statements | Reasons |
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1)
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1) Given |
2)
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2) Reflexive Property of Congruence |
3)
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3) Given |
4)
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4) All right angles are congruent. |
5)
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5) ASA Postulate |
6)
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6) Corresponding parts of
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The distance between the ship and the base of the tower would be the same as the distance between the base of the tower and the landmark.