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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...

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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.

Posted on Nov 17, 2008

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Given alpha is .623and side a is 12 find alpha and side b and c

Posted on Dec 13, 2008

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Posted on Jan 02, 2017

SOURCE: trigonometry

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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what is the value of sin30.28?
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ravi_kant66@hotmail.com

Sep 07, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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