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Mathematics 19 Online
OpenStudy (awesomedude2078):

Given right triangle ABC. To the nearest tenth of an inch, find the length of side c, the hypotenuse

OpenStudy (awesomedude2078):

OpenStudy (evoker):

Use definition of sin, cos, tan to solve this problem.

OpenStudy (awesomedude2078):

ok i've tried

TheSmartOne (thesmartone):

You can use the pythagorean theorem. It's easier and it's better to use for this question.

OpenStudy (evoker):

How will he do that he only has one side

OpenStudy (evoker):

any ways look at the angle you know compared to that angle what side is the side you know, opposite, adjacent, or hypotenuse

OpenStudy (evoker):

And also what is the side you want to know

OpenStudy (awesomedude2078):

i know opposite but, not hypotenuse

OpenStudy (evoker):

correct, now what trig function involves the opposite and hypotenuse

OpenStudy (awesomedude2078):

sine

OpenStudy (evoker):

yep so sin(20)=5/h

OpenStudy (awesomedude2078):

what am i supposed to do after that

OpenStudy (evoker):

well rearranging h=5/sin(20)

OpenStudy (evoker):

and finally use your calc to find sin(20)

OpenStudy (awesomedude2078):

5/20 right

OpenStudy (evoker):

5/sin(20)

OpenStudy (evoker):

I get 14.6 to the nearest 10th

OpenStudy (awesomedude2078):

thanx i've been so stuck

OpenStudy (evoker):

no problem

OpenStudy (awesomedude2078):

In order to keep a boat from drifting away, the boat is tied to a pier with a 60-foot rope. When the boat drifts as far from the pier as the rope will allow, the rope forms a 15° angle relative to the horizontal water line. To the nearest foot, find the maximum horizontal distance, d, that the tied-up boat can drift from the pier

TheSmartOne (thesmartone):

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Evoker How will he do that he only has one side \(\color{#0cbb34}{\text{End of Quote}}\) Oh, my bad! :o I didn't notice that! :o

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