Mimi_x3
  • Mimi_x3
The elevation angles of the tree top from Kevin and Lisa standing on the ground are respectively 40° and 30°. The bearings of Kevin and Lisa from the tree foot are respectively due East and SE. If the tree is 20m high, how far apart are Kevin and Lisa, correct to the nearest metre?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
631.891 meters
Mimi_x3
  • Mimi_x3
Um, how did you get the answer ?
anonymous
  • anonymous
distance of Kevin from tree x = 20/tan(40)=23.835 distance of Lisa from tree x = 20/tan(30)=34.641 |dw:1316064174096:dw| distance between Kevin and Lisa = 34.641^2 - 23.835^2 =631.891 meters

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Mimi_x3
  • Mimi_x3
tyvm for drawing it (:

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