shammiritu45
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A boat is heading towards a lighthouse, where Serenity is watching from a vertical distance of 141 feet above the water. Serenity measures an angle of depression to the boat at point A to be
9°. At some later time, Serenity takes another measurement and finds the angle of depression to the boat ( now at point B ) to be 61°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.



Please help me

All the pts I have ​

Sagot :

okpalawalter8

A boat is heading towards a lighthouse, where Serenity is watching from a vertical distance of 141, the distance from point A to point B. is mathematically given as

BC=78.1575

What is the distance from point A to point B.?

Generally, the equation for the angle is mathematically given as

[tex]tan\theta=\frac{oop}{adj}[/tex]

Therefore

[tex]tan\theta=\frac{141}{AC}[/tex]

Therefore

[tex]AC=\frac{141}{tan 9}[/tex]

AC=890.2389

In conclusion, with triangle BDC

[tex]tan61=\frac{141}{BC}[/tex]

Therefore

BC=141/tan61

BC=78.1575

Read more about distance

https://brainly.com/question/989117

#SPJ1

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.