A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.1 miapart, to be 31° and 42°, as shown in the figure.31°42°6.1 miAВNOTE: The picture is NOT drawn to scale.Find the distance of the plane from point A.distance from A =miFind the elevation of the plane.height =miEnter your answer as a number; your answer should be accurate to 2 decimal places.

Answered: Image /qna-images/answer/572d0924-5ee0-4c4f-a0d2-bc1f8161831f.jpg

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.1 mi apart, to be 31° and 42°, as shown in the figure. 31° 42° б.1 mi A В NOTE: The picture is NOT drawn to scale.

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.1 mi apart, to be 31° and 42°, as shown in the figure. 31° 42° б.1 mi A В NOTE: The picture is NOT drawn to scale.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter9: Real Numbers And Right Triangles

Section9.5: The Distance And Midpoint Formulas

Problem 51E

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

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.

Question

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6.1 mi
apart, to be 31° and 42°, as shown in the figure.
31°
42°
6.1 mi
A
В
NOTE: The picture is NOT drawn to scale.
Find the distance of the plane from point A.
distance from A =
mi
Find the elevation of the plane.
height =
mi
Enter your answer as a number; your answer should be accurate to 2 decimal places.

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