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A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it? 60 feet 120 feet 240 feet 480 feet 960 feet

Respuesta :

Answer: 480 ft

Step-by-step explanation:

We can use Similarity of Triangles.

           | lighthouse                                    

60 ft     |                                                     ruler

           |___________                     3 in |__        

                    x                                         2 ft

3 inches = 0.25 ft

60/0.25 = x/2

0.25x = 120

x = 120/0.25

x = 480 ft

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