(a) A kite is attached to the ground at point A. On a level with A and in the same straight line, the points B and C were chosen so that BC equals 100 meters. From the points B and C, the angle of elevation of the kite is 40° and 30° respectively. Find the distance between the point A and the kite.

(a) A kite is attached to the ground at point A. On a level with A and in the same straight line, the points B and C were chosen so that BC equals 100 meters. From the points B and C, the angle of elevation of the kite is 40° and 30° respectively. Find the distance between the point A and the kite.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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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.

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2. (a) A kite is attached to the ground at point A. On a level with A and in the
same straight line, the points B and C were chosen so that BC equals 100
meters. From the points B and C, the angle of elevation of the kite is 40° and
30° respectively. Find the distance between the point A and the kite.
(b) Draw a diagonal scale 20mm: 1m up to 8m and indicate 6.74m.

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