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Batman slings a 320 ft. climbing cable from a helicopter to his batmobile below. If the cable tightens up
between the helicopter and the car to form an angle of depression of 54 degrees, how far along the ground is the
batmobile from the spot on the ground directly below the helicopter. (8 pts.)

Sagot :

Mathstudent55idn

Answer:

188 ft

Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

               |          \

               |      54°  \

-------------+--------------+-------------------------------

                        x

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft

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