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.

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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Posted on Jan 02, 2017

Assuming the dam face is vertical, 3017 feet.

If this is homework, be sure to show your work.

If this is homework, be sure to show your work.

Jul 12, 2014 | Super Tutor Trigonometry (ESDTRIG) for PC

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)

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

11.4 meters.

Since this looks like a homework problem, be sure to show YOUR work.

Since this looks like a homework problem, be sure to show YOUR work.

Feb 16, 2014 | Computers & Internet

obtuse angle is the angle between 17.411 and 26.40

and area can be found out by root of (s(s-a)(s-b)(s-c))

where s=(a+b+c)/2

and area can be found out by root of (s(s-a)(s-b)(s-c))

where s=(a+b+c)/2

Mar 08, 2010 | Super Tutor Trigonometry (ESDTRIG) for PC

a2+b2=c2

a being your height, b is your distance from the airport and c is the distance from the airport to the plane........ so the answer is 5.385164807134504 miles

Pls Rate this post

a being your height, b is your distance from the airport and c is the distance from the airport to the plane........ so the answer is 5.385164807134504 miles

Pls Rate this post

Oct 08, 2009 | SoftMath Algebrator - Algebra Homework...

height =50

length = 60

angle=x

tangent(x)=50/60

tangent(x)=0.833

x=39.8 degree

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

Depends ur height and building's height

Feb 12, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

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.

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

1,973 people viewed this question

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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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