Answer only number 2 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 ona line leading to the foot of the antenna are 30°, 45° and 60°, respectively. Find the ratio ofPQ and QR.2. The angle of elevation from Ana on the ground to the top of the Narra tree is 35°. Shewalks closer 21 meters towards the tree and from this point she observed that the angle ofelevation 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 fromBen is 40°T. The bearing of Cathy from Ana is 130°T. If the distance between Ana and Benis 12km and the distance between Ana and Cathy is 10km, find the distance between Benand 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 1and % hrs. he makes a course correction and heads in the direction S45°E with the samespeed. 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.

Solution: 2 Let the height of the Narra tree = h

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.

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.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

Answer only number 2

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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