Posted by Sebrenia on Sunday, January 9, 2011 at 9:41pm.
An engineer determines that the angle of elevation from his position to the top of a tower is 55 degrees. The angle of elevation from 75 ft further away is 40 degrees. Determine the height of the tower to the nearest whole number.

geometry  drwls, Monday, January 10, 2011 at 3:31am
Let X be the horizontal distance from which the 55 degree elevation angle was measured.
H/X = tan 55
H/(X + 75) = tan 40
Solve those two equations for H and X.
(X+75)/X = tan 55/ tan 40 = 1.702
1 + 75/X = 1.702
75/X = 0.702
X = 106.8 m
H = 106.8 tan 55 = 153 ft (rounded to nearest integer foot)

geometry  Anonymous, Wednesday, June 26, 2013 at 9:57am
An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A few seconds after the rocket takes off vertically, the observer sees its tip at an angle of q° from the horizontal. How far above the ground is the tip of the rocket at that instant? Assume that the ground is level

geometry  Anonymous, Friday, June 5, 2015 at 1:15pm
idk
Answer This Question
Related Questions
 Math  1. A rangers tower is located 44m from a tall tree. From the top of the ...
 Calculus  The CN Tower is 553 m tall. A person is south of the tower, in a boat...
 Math  to measure the height of the Eiffel Tower in Paris, a person stands away ...
 trigonometry  Mickey determines that the angle of elevation from his position ...
 Math  A boy observes that the angle of elevation of the top of a tower is 32 ...
 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 ...
 physics  1) The angle of elevation to the bottom of a transmission tower on a ...
 precalculus  A radio tower is located 450 feet from a building. From a window ...
 math  two office towers are 31 m apart. From the top of the shorter tower, the ...
More Related Questions