(a) A photographer captured a photo as shown in Figure A below. Later, he discovered that the line which joins the bottom and the top of the mountain and the line which joins the top of the mountain and the aeroplane form a 90° angle, that is,

(a) A photographer captured a photo as shown in Figure A below. Later, he discovered that the line which joins the bottom and the top of the mountain and the line which joins the top of the mountain and the aeroplane form a 90° angle, that is,

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) A photographer captured a photo as shown in Figure A below. Later, he discovered that
the line which joins the bottom and the top of the mountain and the line which joins the top
of the mountain and the aeroplane form a 90° angle, that is, <BCD = 90• as shown in
Figure B. Suppose AC = 660m and BC = 1594.962m. Assume ZDAC = 90•, estimate
the elevation of the aeroplane from the ground, that is the distance BD. Round your
answer to the nearest integer and state its unit.
Figure A
Figure Be

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