SOLUTION: An athlete stands on top of a diving platform preparing to take a running start. She needs to complete an acrobatic dive that involves landing in the water 13 feet away (horizontal

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Question 1063096: An athlete stands on top of a diving platform preparing to take a running start. She needs to complete an acrobatic dive that involves landing in the water 13 feet away (horizontally) from the end of the diving platform. The angle of depression from the athlete's feet at the end of the diving platform to the spot on the water where she wishes to land is 68.5°.
How tall is the diving platform that the diver is standing on?
The diving platform is approximately __________ feet high.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An athlete stands on top of a diving platform preparing to take a running start. She needs to complete an acrobatic dive that involves landing in the water 13 feet away (horizontally) from the end of the diving platform. The angle of depression from the athlete's feet at the end of the diving platform to the spot on the water where she wishes to land is 68.5°.
How tall is the diving platform that the diver is standing on?
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Sketch the figure::
You have a right triangle with base = 13 ft ; height = h ; angle adj to base = 68.5 degrees
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tan(68.5) = h/13
h = 13*tan(68.5)
h = 33 ft
The diving platform is approximately 33 feet high.
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Cheers,
Stan H.
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