Question about Computers & Internet
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 Jan 02, 2017
Posted on Aug 01, 2008
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
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
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