PL is a vertical pole, h metres high, standing on horizontal ground. PA is a shadow of the pole when the direction of the sun is due north and when the angle of elevation of the sun is 45°. PB is the shadow cast by the pole when the bearing of the sun is 345°T and its angle of elevation is 31°. The distance AB is 15 metres. Draw a top view sketch and label the information given. ii Find the height h of the pole to the nearest metre

PL is a vertical pole, h metres high, standing on horizontal ground. PA is a shadow of the pole when the direction of the sun is due north and when the angle of elevation of the sun is 45°. PB is the shadow cast by the pole when the bearing of the sun is 345°T and its angle of elevation is 31°. The distance AB is 15 metres. Draw a top view sketch and label the information given. ii Find the height h of the pole to the nearest metre

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.

Question

c)
PL is a vertical pole, h metres high, standing on horizontal ground.
PA is a shadow of the pole when the direction of the sun is due north and
when the angle of elevation of the sun is 45°. PB is the shadow cast by the
pole when the bearing of the sun is 345°T and its angle of elevation
is 31°. The distance AB is 15 metres.
Draw a top view sketch and label the information given.
ii
Find the height h of the pole to the nearest metre

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