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Trigonometry(height and distance)

A palm tree stands on the bank of a river. A post is fixed in the earth on the other bank just opposite to the palm tree. On moving (7*1.732) metres from the post along the bank, it is found that the tree makes an angle of 60 deegre at that point with respect to this bank. Find the width of the river.

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  • Loringh
    Loringh May 11, 2010

    I am not sure what you mean by (7*1.732) meters. what is the significance of the * ?

    Tell me that and I can solve your problem


    Loringh


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Trigonometry(height and distance) - 28bf05a.jpg
PA = 7 meters
ð A=600
Given Tan 60 = 1.732
Tan A = TP/AP
TP=AP*Tan A
TP = 7 * Tan 60
TP = 7 * 1.732 Meters
TP = 12.12436 meters

Zulfikar Ali

Posted on Jan 10, 2009

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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.

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