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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?

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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 2T
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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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