# Trigonometry Triangles

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1.       A mountain is due north and the peak is 20° above the horizon (the angle between a level line drawn straight north and a line drawn to point at the peak is 20°). You walk 1000 feet due east and the mountain is now 10° west of north (you have to rotate 10° counterclockwise from facing north to be facing the peak). How tall is the mountain? Note that the ground is level as you walk east and we are assuming the earth is flat.

Sep 23rd, 2015

The picture above is your problem. (not in scale)

If you walk 1000ft east and you need to turn your head 10 degree to see the peak when you are facing north that means you have an angle of 80 degree with the West-East.  Since you moved 1000 ft you can calculate the distance between you and the the peak before you walk 1000 ft   (d).

tg 80 =d/1000    =>  d=5671.3 ft

so peak height (h) can be calculated

tg 20= h/d=h/5671.3

so h=2064.2 ft

Sep 23rd, 2015

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Sep 23rd, 2015
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Sep 23rd, 2015
Nov 19th, 2017
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