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Mathematics 7 Online
OpenStudy (darkbluechocobo):

Help with solving real life problems with right triangles

OpenStudy (darkbluechocobo):

You are standing on a cliff that is 50 m above the ocean and you see a ship that is 950 m from the bottom of the cliff. Find the angle of depression from you to the ship. Round your answer to the nearest tenth of a degree.

OpenStudy (darkbluechocobo):

|dw:1425490397521:dw|

OpenStudy (darkbluechocobo):

is that what it would look like?

OpenStudy (darkbluechocobo):

tan=50/950?

OpenStudy (kirbykirby):

yeah

OpenStudy (darkbluechocobo):

0.0526?

OpenStudy (kirbykirby):

well... \(\tan(\theta)=\dfrac{50}{950}\) So you need to find the angle by applying \(\tan^{-1}\) to both sides

OpenStudy (darkbluechocobo):

So both to 50 and 950?

OpenStudy (kirbykirby):

\[\theta=\tan^{-1}\left(\dfrac{50}{950}\right)\].. which you'd need to find on your calculator

OpenStudy (darkbluechocobo):

3 degrees?

OpenStudy (kirbykirby):

Yeah. Although they say to the nearest tenth, so 3.0

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