Solve and show all necessary solutions. 1. If the angles of elevation of the top of a satellite antenna from three points P,Q and R on a line leading to the foot of the antenna are 30°, 45° and 60°, respectively. Find the ratio of PQ and QR.

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Solve and show all necessary solutions.
1. If the angles of elevation of the top of a satellite antenna from three points P,Q and R on
a line leading to the foot of the antenna are 30°, 45° and 60°, respectively. Find the ratio of
PQ and QR.
2. The angle of elevation from Ana on the ground to the top of the Narra tree is 35°. She
walks closer 21 meters towards the tree and from this point she observed that the angle of
elevation is now 45°, find the height of the Narra tree.
3. Ana, Ben and Cathy are on different locations on the ground. The bearing of Ana from
Ben is 40°T. The bearing of Cathy from Ana is 130°T. If the distance between Ana and Ben
is 12km and the distance between Ana and Cathy is 10km, find the distance between Ben
and Cathy and the bearing of Ben from Cathy?
4. A pilot sets out from an airport and heads in the direction N45 E, flying at 210 mi/h. After 1
and % hrs. he makes a course correction and heads in the direction S45°E with the same
speed. An hour after that, engine trouble forces him to make an emergency landing.
a. Find the distance between the airport and his final landing point.
b. Find the bearing from the airport to his final landing point.
Transcribed Image Text:Solve and show all necessary solutions. 1. If the angles of elevation of the top of a satellite antenna from three points P,Q and R on a line leading to the foot of the antenna are 30°, 45° and 60°, respectively. Find the ratio of PQ and QR. 2. The angle of elevation from Ana on the ground to the top of the Narra tree is 35°. She walks closer 21 meters towards the tree and from this point she observed that the angle of elevation is now 45°, find the height of the Narra tree. 3. Ana, Ben and Cathy are on different locations on the ground. The bearing of Ana from Ben is 40°T. The bearing of Cathy from Ana is 130°T. If the distance between Ana and Ben is 12km and the distance between Ana and Cathy is 10km, find the distance between Ben and Cathy and the bearing of Ben from Cathy? 4. A pilot sets out from an airport and heads in the direction N45 E, flying at 210 mi/h. After 1 and % hrs. he makes a course correction and heads in the direction S45°E with the same speed. An hour after that, engine trouble forces him to make an emergency landing. a. Find the distance between the airport and his final landing point. b. Find the bearing from the airport to his final landing point.
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