SOLUTION: two masts are 20 m and 12 m high.if the line joining their tops make an angle of 35 degree with the horizontal find their distance apart

Question 428038: two masts are 20 m and 12 m high.if the line joining their tops make an angle of 35 degree with the horizontal find their distance apart
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
two masts are 20 m and 12 m high.if the line joining their tops make an angle of 35 degree with the horizontal;
find their distance apart.
:
Draw this out, you can see a right triangle is is formed by the horizontal line between the poles, the line drawn between the tops of the poles (hypotenuse) and a side of 8', the difference in the height of the poles.
:
Find the interior angle formed by the line joining the tops
90 - 35 = 55 degrees
:
Use the tangent which is the side opposite/side adjacent.
:
Side adjacent = 8', find side opposite (d) (horizontal dist between the poles)
tan(55) =
1.428 =
d = 1.428 * 8
d = 11.425 ft between the poles
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