Posted by Meenakshi on Thursday, December 13, 2012 at 12:22pm.
make a sketch, label the height as h
distance from last position to the tower as x
tan (alpha) = h/(x+a)
h = (x+a)tan alpha
in the same way
h = xtan beta
(x+a)tan alpha = xtan beta
x tan alpha - xtan beta = - a tan alpha
x(tan alpah - tan beta) = -a tan alpha
x = -a tan alpha/(tan alpha - tan beta)
x = a tan alpha /(tan beta - tan alpha)
h = xtan beta
= a tan alpha * tan beta/(tan beta - tan alpha)
as requested
Related Questions
Trig - From a point P on level ground, the angle of elevation of the top of a ...
Math - On top of the sears building is a tv tower. From a point 300 ft away the ...
Math - On top of the sears building is a tv tower. From a point 300 ft away the ...
help - The CN Tower is 553m high. A person in a boat on Lake Ontario, at a point...
Math - to measure the height of the Eiffel Tower in Paris, a person stands away ...
math - A radio tower stands on the top of a hill that is 85 feet high. From the ...
Calculus - The CN Tower is 553 m tall. A person is south of the tower, in a ...
trigonometry - The angle of elevation of the top of a tower to point A on the ...
calculus - I need help with the following problem: From a point 50 meters from ...
trigonometry - a man measured the angle of elevation of the top of a tower to be...
For Further Reading
