5. Point A and B are on the same horizontal line with the foot of a hill and the angles of depression of these points from the top of the hill are 32º and 22º, respectively. If the distance between A and B is 80 meters, what is the height of the hill?

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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Evaluate right triangle related problem using different angle perceptions. (Show complete solution)
5. Point A and B are on the same horizontal line with the foot of a hill and the angles of
depression of these points from the top of the hill are 32º and 22º, respectively. If the
distance between A and B is 80 meters, what is the height of the hill?
6. From a cliff 150 feet above a lake, we see a boat sailing directly towards us. The angle of
depression of the boat is seen to be 5º7' and then later is 11018'. Find the distance sailed
between observations.
Transcribed Image Text:5. Point A and B are on the same horizontal line with the foot of a hill and the angles of depression of these points from the top of the hill are 32º and 22º, respectively. If the distance between A and B is 80 meters, what is the height of the hill? 6. From a cliff 150 feet above a lake, we see a boat sailing directly towards us. The angle of depression of the boat is seen to be 5º7' and then later is 11018'. Find the distance sailed between observations.
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