The angles of elevation to a balloon from two points A and B on level ground are 26° and 46°, respectively. Find the distance from the balloon to the point closest to it if the distance between the points is 1.75 miles. Assume the balloon is positioned not between A and B directly over a straight line that goes thru A and B.

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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26)
The angles of elevation to a balloon from two points A and B on level ground
are 33º and 52°, respectively. Find the distance from the balloon to the point closest
to it if the distance between the points is 20 meters. Assume the balloon is positioned
between A and B directly over a straight line that joins A and B.
27)
are 26° and 46°, respectively. Find the distance from the balloon to the point closest
to it if the distance between the points is 1.75 miles. Assume the balloon is
positioned not between A and B directly over a straight line that goes thru A and B.
The angles of elevation to a balloon from two points A and B on level ground
28)
From the rooftop of 500-foot tall skyscraper, a man observes an 18-wheeler
moving straight toward him. If the angle of depression to the 18-wheeler changes
from 15° to 30° during the period of observation, how far does the semi travel?
29)
tower. If the observer walks 200 feet further away from the tower and measures a 6°
angle of elevation to the top of a transmission tower, about how tall is the tower?
An observer measures an 8° angle of elevation to the top of a transmission
Lookout station B is located 7 miles due east of station A. The bearing of a fire
30)
from A is S 8°50'W and the bearing of the fire from B is S 28°20'W . Determine the
distance, to the nearest tenth of a mile, from the fire to lookout station B.
= the vertical
= the horizontal component &
31)
component of a vector with magnitude 24 and direction angle 240 degrees.
Transcribed Image Text:26) The angles of elevation to a balloon from two points A and B on level ground are 33º and 52°, respectively. Find the distance from the balloon to the point closest to it if the distance between the points is 20 meters. Assume the balloon is positioned between A and B directly over a straight line that joins A and B. 27) are 26° and 46°, respectively. Find the distance from the balloon to the point closest to it if the distance between the points is 1.75 miles. Assume the balloon is positioned not between A and B directly over a straight line that goes thru A and B. The angles of elevation to a balloon from two points A and B on level ground 28) From the rooftop of 500-foot tall skyscraper, a man observes an 18-wheeler moving straight toward him. If the angle of depression to the 18-wheeler changes from 15° to 30° during the period of observation, how far does the semi travel? 29) tower. If the observer walks 200 feet further away from the tower and measures a 6° angle of elevation to the top of a transmission tower, about how tall is the tower? An observer measures an 8° angle of elevation to the top of a transmission Lookout station B is located 7 miles due east of station A. The bearing of a fire 30) from A is S 8°50'W and the bearing of the fire from B is S 28°20'W . Determine the distance, to the nearest tenth of a mile, from the fire to lookout station B. = the vertical = the horizontal component & 31) component of a vector with magnitude 24 and direction angle 240 degrees.
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