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The angle of elevation to the top of a tree from a distance of 33m is 19 degrees. Work out the height of the tree.

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11.4 meters.

Posted on May 27, 2014


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SOURCE: Angle of elevation

11.3628 M

Posted on Sep 12, 2009

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A tree on a hillside casts a shadow 215 ft. down the hill.if the angle of inclination of the hillside is 22 degrees to the horizontal and the angle of elevation of the sun is 52 degrees ,find the height of...

x is the height of tree, y and z are as denoted in picture:

  1. cos(22°)=y/215==>y=cos(22°)*215=199.3 ft
  2. sin(22°)=z/215==>z=sin(22°)*215=80.5 ft
  3. tan(52°)=(x+z)/y==>x+z=y*tan(52°)=255.1 ft
  4. x=255.1-z=255.1-80.5=174.6 ft

Please rate my answer if it was helpful :)

Sep 06, 2011 | Casio fx-300ES Calculator

1 Answer

From a point on the ground, a person notices a 110-foot antenna on the top of a hill subtends an angle of 1.5 deg. If the angle of elevation on the bottom of the antenna is 25 deg, find the height of the...

Draw one right-angle triangle:

/ '
/ '
/ '

A = your location
B = bottom of the hill
C = bottom of the antenna
D = top of the antenna

The A-B distance is constant.
The B-C distance is unknown.
The B-C-D distance is unknown.
The C-D distance is given.
The C-A-B angle is given as 25 degrees.
The D-A-C angle is given as 1.5 degrees.

Use SINE and COSINE functions to determine the B-C distance.

Tell your teacher that you found the answer to your homework on the Internet.

Sep 24, 2010 | Computers & Internet

1 Answer

An trigonometry wordproblem

Hi there,

Using the measurements you have given and calculating the others as follows:

Angle A= 30 degrees
Side b= 900 metres
Angle B= 60 degrees
Side b= 1558.845 metres

Therefore length of the slope = 1,800.0000000000002 metres (side c)

Hope this helps. Regards, James

Apr 22, 2010 | Televison & Video

1 Answer

Angle of alevation

height =50
length = 60

x=39.8 degree

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

2 Answers


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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