12. To determine the height of a pole across a road, Justin takes two measurements. He stands at point A directly across from the base of the pole and determines that the angle of elevation to the top of the pole is 15.3°. He then walks 30 m parallel to the freeway to point C, where he sees that the base of the pole and point A are 57.5° apart. From point A, the base of the pole and point Care 90.0° apart. Calculate the height of the pole to the nearest metre. 1 15.3 57.5 A 30 m

12. To determine the height of a pole across a road, Justin takes two measurements. He stands at point A directly across from the base of the pole and determines that the angle of elevation to the top of the pole is 15.3°. He then walks 30 m parallel to the freeway to point C, where he sees that the base of the pole and point A are 57.5° apart. From point A, the base of the pole and point Care 90.0° apart. Calculate the height of the pole to the nearest metre. 1 15.3 57.5 A 30 m

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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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

100%

12. To determine the height of a pole across à road, Jusi
takes two measurements. He stands at point A directly
across from the base of the pole and determines that the
angle of elevation to the top of the pole is 15.3°. He
then walks 30 m parallel to the freeway to point C,
where he sees that the base of the pole and point A are
57.5° apart. From point A, the base of the pole and
point Care 90.0° apart. Calculate the height of the
pole to the nearest metre.
1
15.3
57.5
A 30 m

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