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A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After moving back on a straight line away from the skyscraper, 300 feet from the spot of the first measurement, he observes the angle of elevation to be 23°30'. Approximately how tall is the skyscraper?

A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After moving back on a straight line away from the skyscraper, 300 feet from the spot of the first measurement, he observes the angle of elevation to be 23°30'. Approximately how tall is the skyscraper?

Trigonometry (11th Edition)
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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deck. Please round your answer to the nearest foot. 22 io 46 d 9) The driver of a car notices a flag on the top of a flagpole toward which he is driving. IL the angle of elevation changes from 28° to 53° as the driver moves 4000 feet closer to the flagpole, how tall is the flagpole? Please round to the nearest foot. 20) The on the ott lower dec answer 10) angle of 22° with the horizontal, Find the force made by the car perpendicular to the hill. Please disregard friction in all exercises like this from this point forward. Find the force required to keep a 2500-lb car parked on a hill that makes an 21) tank A Geomatics engineer, on one side of a canyon forged by a river that runs on a 28° 11) S15°W course, is directly across a fire lookout tower on the other side of the canyon. After she walks 200 feet on a S15°W course, the angle her path forms with the tower is 86°22'30". Determine the distance across the canyon. 22) The angles of elevation to a balloon from two points A and B on level ground 12) are 33° and 52°, respectively. Find the balloon's height above ground if the distance between the points is 12 km. Assume the balloon is positioned between A and B directly over a straight line that joins A and B. Two airplanes leave an airport at the same time, one going northwest 13) (W 45° N ) at 418 mph and the other going due east at 331 mph. How far apart, to the nearest mile, are the planes after 2 hours? A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After moving back on a straight line away from the skyscraper, 300 feet from the spot of the first measurement, he observes the angle of elevation to be 23°30'. Approximately how tall is the skyscraper? - 44 -
Transcribed Image Text:deck. Please round your answer to the nearest foot. 22 io 46 d 9) The driver of a car notices a flag on the top of a flagpole toward which he is driving. IL the angle of elevation changes from 28° to 53° as the driver moves 4000 feet closer to the flagpole, how tall is the flagpole? Please round to the nearest foot. 20) The on the ott lower dec answer 10) angle of 22° with the horizontal, Find the force made by the car perpendicular to the hill. Please disregard friction in all exercises like this from this point forward. Find the force required to keep a 2500-lb car parked on a hill that makes an 21) tank A Geomatics engineer, on one side of a canyon forged by a river that runs on a 28° 11) S15°W course, is directly across a fire lookout tower on the other side of the canyon. After she walks 200 feet on a S15°W course, the angle her path forms with the tower is 86°22'30". Determine the distance across the canyon. 22) The angles of elevation to a balloon from two points A and B on level ground 12) are 33° and 52°, respectively. Find the balloon's height above ground if the distance between the points is 12 km. Assume the balloon is positioned between A and B directly over a straight line that joins A and B. Two airplanes leave an airport at the same time, one going northwest 13) (W 45° N ) at 418 mph and the other going due east at 331 mph. How far apart, to the nearest mile, are the planes after 2 hours? A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After moving back on a straight line away from the skyscraper, 300 feet from the spot of the first measurement, he observes the angle of elevation to be 23°30'. Approximately how tall is the skyscraper? - 44 -
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