Question 920750
You have a distance on the ground, 14.7 feet, and an acute angle at the ground of 30 degrees.  You can use TANGENT of 30 degrees.


Let y be the height of tree from ground to top.
{{{y/14.7=tan(30)}}}
You wanted to step using radians, so {{{tan(pi/6)=(1/2)/(sqrt(3)/2)=1/sqrt(3)}}}, and you can use it in this form.
{{{y=14.7*tan(pi/6)}}}
{{{y=(14.7)(1/sqrt(3))}}}
Rationalize the denominator if you want...
{{{highlight(y=(14.7)*sqrt(3)/3)}}}