Posted by carla on Tuesday, April 12, 2011 at 10:43am.
a surveyor finds that from Point A on the ground the angle of elevation to the top of a mountin is 23 degrees. when he is at point B that is 1/4 closer to the base of the mountain the angle of elevation is 43 degrees. how high is the moutnain? One mile =5280 feet. (Assume that thr base of the mountain and the two observation points are on the same line.)Give answer to the nearest foot.

trigonometry  Henry, Thursday, April 14, 2011 at 12:34pm
tan23 = Y/X,
Y = Xtan23,
tan43 = Y/(X.25).
Y = (X0.25)tan43.
y = Xtan23 = (X0.25)tan43,
Xtan23 = (X0.25)tan43,
Xtan23 = Xtan430.25tan43,
0.4245X = 0.9325X0.2331,
0.4245X0.9325X = 0.2331,
0.508X = 0.2331,
X = 0.4589 Miles.
y = 0.4589tan23 = 0.1948 miles.
Y = 0.1948mi * 5280ft/mi = 1029 Ft.
= Height of mountain.
Answer This Question
Related Questions
 trigonometry  The angle of elevation of the top of a tower to point A on the ...
 Maths  Say I'm at an unknown distance from a mountain, called point P, and I ...
 math  if someone could please help that would be muchly appreciated. A group of...
 trigonometry  as you walk on a straight level path toward a mountain, the ...
 angles  A survey team is trying to estimate the height of a mountain above a ...
 trig confused.. pls help  A group of mountain climbers are using trigonometry ...
 math trigonometry  From on point on the ground the angle of elevation to the ...
 Precalculus  From a point on ground level, you measure the angle of elevation ...
 Math  a surveyor is 3 miles from a mountain. The angle of elevation from the ...
 geometry  a surveyor on level ground finds the angle of elevation of a 138foot...
More Related Questions