To measure the height of an inaccessible c on the opposite sde of a river, a surveyor makes the meaturements shown in the figure below. Assume a69.3 andb-56., Fnd the height of the cf. (Round your anwer to one decimal place.)

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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To measure the height of an inaccessible c on the opposite sde of a river, a surveyor makes the meaturements shown in the figure below. Assume a69.3 andb-56., Fnd the
height of the cf. (Round your anwer to one decimal place.)
Transcribed Image Text:To measure the height of an inaccessible c on the opposite sde of a river, a surveyor makes the meaturements shown in the figure below. Assume a69.3 andb-56., Fnd the height of the cf. (Round your anwer to one decimal place.)
Expert Solution
Step 1

Given Data:

Angle a = 69.3°

Angle b = 56.7°

AB = 200 m

 

The figure with notations is shown below.

Trigonometry homework question answer, step 1, image 1

Step 2

The angle ADB is,

Trigonometry homework question answer, step 2, image 1

 

Substitute the values in the above equation.

Trigonometry homework question answer, step 2, image 2

 

The length of side AD is,

Trigonometry homework question answer, step 2, image 3

 

Substitute the values in the above equation.

Trigonometry homework question answer, step 2, image 4

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