3. A small private airfield is built such that the longest runway faces north toward a bank of trees. This is done in order to make the longest possible runway. From the departure end of the runway, the angle of elevation to the top of the trees is 4°. From a point 250 m perpendicular to the runway, the angle formed by the departure end of the runway and the trees is 75°. a) Draw a diagram for this situation. b) Determine the distance from the departure end of the runway to the trees. c) Determine the height of the trees, to the nearest metre.
3. A small private airfield is built such that the longest runway faces north toward a bank of trees. This is done in order to make the longest possible runway. From the departure end of the runway, the angle of elevation to the top of the trees is 4°. From a point 250 m perpendicular to the runway, the angle formed by the departure end of the runway and the trees is 75°. a) Draw a diagram for this situation. b) Determine the distance from the departure end of the runway to the trees. c) Determine the height of the trees, to the nearest metre.
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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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
Transcribed Image Text:12:35
3. A small private airfield is built such that the longest
runway faces north toward a bank of trees. This is
done in order to make the longest possible runway.
From the departure end of the runway, the angle of
elevation to the top of the trees is 4°. From a point
250 m perpendicular to the runway, the angle
formed by the departure end of the runway and the
trees is 75°.
a) Draw a diagram for this situation.
b) Determine the distance from the departure
end of the runway to the trees.
c) Determine the height of the trees, to the
nearest metre.
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