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Trigonometry from the top of the lighthouse 37m above sealevel,the angle of depression of the boat is 15degrees.how far is the boat from the lighthouse?

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  • cris3g Oct 10, 2008

    i dont know how to slove this problem

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What is the value of sin30.28?
how can it be found using log table?
ravi_kant66@hotmail.com

Posted on Sep 09, 2008

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Offset is 8 in run is 6ft 3 3/8in travel is 6ft 3 13/16in. How do I find the degree?


If I understand your terminology correctly, you have a triangle with a hypotenuse of 6' 3-13/16" and a side opposite the angle you wish to find with a length of 8" (and a side adjacent to the angle you wish to find with a length of 6' 3-3/8") Trigonometry says that the sine of an angle is the length of the opposite side divided by the hypotenuse. (all units must be the same, so convert everything to inches)
So sine (angle) = 8/(6 * 12 + 3 + 13/16)
sine (angle = 8/(75.8125)
sine(angle) = .105523
angle = arc-sine(.105523)
angle = 6.0573 degrees (from tables, calculator, computer etc)

Jun 07, 2014 | CyberEd Trigonometry Problem Solver

1 Answer

Angle of alevation


height =50
length = 60
angle=x

tangent(x)=50/60
tangent(x)=0.833
x=39.8 degree

Mar 01, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

2 Answers

Angle of depression


9cd8f44.jpg ð XAC = ð ACB (Angle of elevation= Angle of depression)
AB = 5 Yards
BC = ?
Now Tan C= AB/BC
BC = AB/ Tan C
BC = 5 / Tan 28 Yards
BC = 5/.531709 Yards
BC = 9.403632 Yards

Jan 02, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

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I need an urgent help..pleassssssssseeeee....


cafdef1.jpg Given AC = 2675 feet
ð XAC= 14 degree
Therefore ð ACB = 14
Now Sin C= AB/AC
AB = AC . Sin C
AB = 2675 * Sin 14 feet
AB = 2675 * 0.241922 feet
AB = 647.1411 feet

Jan 02, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

2 Answers

Trigonometry


Hi Jehho soria

Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.

so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.

solving for the distance we get distance = 37 divided by the tangent of 37 degrees

Looking up the tangent of 15 degrees on google give .2679

dividing 137 by .2679=138,1 meters

Hope this helps Loringh PS Please leave a rating for me.

Nov 14, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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