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.)

Mathematics For Machine Technology
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Author:Peterson, John.
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Chapter13: Division Of Decimal Fractions
Section: Chapter Questions
Problem 12A: A cross-sectional view of a bevel gear is shown in Figure 13-5. Given the diametral pitch and the...
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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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