A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 5.1 km apart, to be 30° and 44°, as shown in the figure. 30° 44° 5.1 km А В NOTE: The picture is NOT drawn to scale. Find the distance of the plane from point A. distance from A = km Find the elevation of the plane. height = km
A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 5.1 km apart, to be 30° and 44°, as shown in the figure. 30° 44° 5.1 km А В NOTE: The picture is NOT drawn to scale. Find the distance of the plane from point A. distance from A = km Find the elevation of the plane. height = km
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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Transcribed Image Text:A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 5.1 km
apart, to be 30° and 44°, as shown in the figure.
30°
44°
5.1 km
A
NOTE: The picture is NOT drawn to scale.
Find the distance of the plane from point A.
distance from A =
km
Find the elevation of the plane.
height
km
Expert Solution
Step 1
consider the figure as follows
as pair of alternate angles are equal .
Using the angle sum property of triangle, calculate
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