SOLUTION: To find the height of a mountain, a group of students measured the elevation angle of the mountain which was 30 degrees and moved horizontally towards the mountain a distance of 15
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Question 1105378: To find the height of a mountain, a group of students measured the elevation angle of the mountain which was 30 degrees and moved horizontally towards the mountain a distance of 1500 m and measured the elevation angel again which was 35 degrees. What is the height of the mountain? (Show your work). Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! |
|y
|
|===============---------------------Person
-------x------------/======1500======
From the person, tangent of 30=y/(x+1500)
tangent 35=y/x
0.5774(x+1500)=y
0.7002x=y
set the two equal to each other
0.5774x+866.1=0.7002x
866.1=0.1228 x
x=7052.93 m
Therefore, y=0.7002*x=4938.6 m ANSWER
check with other
0.5774 should equal 4938.6/8552.93, which it does.
