Posted by Winsel on Tuesday, August 10, 2010 at 10:15am.
The line of sight of the 72 deg angle
is represented by the hyp. of a rt triangle. The ht. of the observer above
the bottom of tree represents the ver.
side of the triangle.The hor. side is
the dist. from the tree to the bottom
of tower.The line of sight of the 12
deg. angle is the hyp of a 2nd rt.
triangle. Its' hor. side is = to hor.
side of 1st triangle.
Tan(72,20min) = 73.5 / X,
X = 73.5 / Tan(72,20min) = 23.41 Ft.
= hor. dist. from tree to tower.
Tan(12,40min) = Y / 23.41 ,
Y = 23.41 * Tan(12,40min) = 5.26 Ft
= ver. side of 2nd triangle.
h = 73.5 - 5.26 = 68.2 Ft. = ht.
of tree.
Related Questions
trigonometry - From lookout tower 80ft. high, a man observes from a position 6.5...
math - From a lookout tower 80 ft. high, a man observes from a position 6.5 ft. ...
Math! - From the top of a 40m fire tower, a fire ranger observes smoke in tower ...
Calculus - The CN Tower is 553 m tall. A person is south of the tower, in a ...
help - The CN Tower is 553m high. A person in a boat on Lake Ontario, at a point...
Geometry - Mike and Lani stand 21.2 meters apart. From Mike’s position, the...
math - A radio tower stands on the top of a hill that is 85 feet high. From the ...
trigonometry - a man measured the angle of elevation of the top of a tower to be...
trigonometry - a flagpole 25 feet high stands on the top of a tower, which is ...
Precalculus - A tower casts a 235-foot-long shadow. If the angle of elevation ...
For Further Reading
