A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground. He moves 30m nearer to the flat and measures the angle of elevation as 43°. Calculate the height of the spire to the nearest hundredth.

A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground. He moves 30m nearer to the flat and measures the angle of elevation as 43°. Calculate the height of the spire to the nearest hundredth.

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

A surveyor measured the angle of elevation of a flat spire as 15° from a point on
horizontal ground. He moves 30m nearer to the flat and measures the angle of
elevation as 43°. Calculate the height of the spire to the nearest hundredth.

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