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August 23, 2014

August 23, 2014

Posted by **Anonymous** on Wednesday, October 10, 2012 at 7:50pm.

How high (in feet) is the mountain?

- trig -
**Reiny**, Wednesday, October 10, 2012 at 9:16pmMake a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

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