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the tram in hong kong connects two terminals one at the base of the mountain and the...

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r4rob92 | Valedictorian

Posted May 13, 2013 at 5:29 PM via web

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the tram in hong kong connects two terminals one at the base of the mountain and the other at the summit.the angle of elevation of upper terminal from lowe is 15.5 degrees.the distance between the two terminals is 1365 meters.How much higher above sea level is the upper terminal compared to lower

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crmhaske | College Teacher | (Level 3) Associate Educator

Posted May 13, 2013 at 5:46 PM (Answer #1)

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Let x = the distance between the terminals
Let e = the angle of elevation
Let y = the height difference between the two terminals

In the attached diagram, the black lines represent the height of each terminal, and the red lines represent the imaginary triangle that is created when connecting the two terminals by a straight line.

In order to solve for the height difference, we can use the trigonometic function tangent:

`tan(e)=y/x` 

`y=x*tan(e)`

`y=1365*tan(15.5)`

y = 378.5

Therefore, the upper terminal is approximately 379 meters higher than the lower terminal.

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