anonymous
  • anonymous
To measure the height of one of the faces on Mt. Rushmore, two sightings 810 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 32° and the angle of elevation to the top is 35°, what is the height of this face? (answer to the nearest foot)
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
you subtract tangents
amistre64
  • amistre64
tan(32) = h/810 tan(35) = H/810 H-h = face height :)
amistre64
  • amistre64
810 [tan(35) - tan(32)] = face height

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anonymous
  • anonymous
okay. so the height in feet is 61.02 feet?
amistre64
  • amistre64
thats what the calulator i have tells me :)
anonymous
  • anonymous
haha okay thanks!

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