# Plane trigonometry examples

A man is 200 meters away from a point directly below a balloon. He observes that the angle of elevation of the balloon changes from 25 degrees to 37 degrees during its ascent. How far does the balloon rise?

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Posted on May 26, 2014

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Posted on Jan 02, 2017

SOURCE: TRIANGLES

• FROM A WINDOW 30 feet above the ground,a building 100 feet high, and at a distance of 200 feet, is observed.find the angle of elevation of the top of the building and the angle of depression of its base.

Posted on Aug 01, 2008

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

SOURCE: 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.

Posted on Nov 17, 2008

SOURCE: trig and distance

Debs,

this is solved by starting with the SECOND leg of the flight considered as a triangle.

Find how far DUE east the plane travels (100 km x Cos10 = 83.9 km) using 10 degrees because that is how much is left of the 90 degree quadrent after subtracting the 80 degrres course direction.
Similarly find out how far DUE north the plane travels (100 km x Cos80 = 11 km).

Now get the total flight NORTH = 300 + 11 = 311
- and total EAST = 83.9

Finally, use Pythagoras theorem.to get the total DISTANCE:
square root of ( 311 squared + 83 squared ) = 321 km

Also the DIRECTION from its Tangent of 83 /311 = 14.9 degrees

Posted on Dec 19, 2008

Depends ur height and building's height

Posted on Feb 12, 2009

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## Related Questions:

### 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

### This is a right angled triangle. A radio mast is 36m high(opposite), and the angle (adjacent) of elevation shown is 63 degrees. Work out the length of the hypotenuse.

It is not clear which angle you are talking about...

In one case the Hypot = 36/(cos(63)) meters. (about 79 meters)

The other case Hypot = 36/(cos(90-63)) meters (about 40 meters)

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

### Angle of depression

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

### Trigonometry(height and distance)

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

Aug 05, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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