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A boat is 200 feet from shore. The angle its line of sight makes with pier A relative to the shoreline is . The angle its line of sight makes with pier B relative to the shoreline is . How far is pier A from pier B rounded to the nearest foot? Pier A is 339 ft from pier B. answer above^

Sagot :

MrRoyal

The distance between two points is the number of units between them.

The distance between pier A and pier B is 339 ft

How to calculate the distance between pier A and pier B

From the complete question, we have the following sine equation

[tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)}[/tex]

So, the equation becomes

[tex]\frac{200}{\sin(27)} = \frac{b}{\sin(50)}[/tex]

Evaluate the sine ratios

[tex]\frac{200}{0.4540} = \frac{b}{0.7693}[/tex]

Evaluate the quotient

[tex]440.53 = \frac{b}{0.7693}[/tex]

Make b the subject

[tex]b = 440.53 * 0.7693[/tex]

[tex]b = 339[/tex]

Hence, pier A is 339 feet from pier B

Read more about distance at:

https://brainly.com/question/11744248

Answer:

339 ft

Step-by-step explanation:

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