college
posted by Ashley .
The angle of elevation from point A to the top of a vertical pole is 30.0 degrees. At point B, 6 meters closer to the base of the pole and on a line through the base of the pole and point A, the angle of elevation to the top of the pole is 37.0 degrees. Find the height ( to the nearest tenth of a foot) of the pole.

Let X be the distance from the closer point B) to the pole.
Let H be the height of the pole. You have two equations in two unknowns.
H/X = tan 37 = 0.75355
H/(X+6) = tan 30 = 0.57735
(X+6)/X = 1.3052 = 1 + 6/X
6/X = 0.3052
X = 19.66 m
H = 0.75355X = 14.8 m
Respond to this Question
Similar Questions

Math: Trig
to determine the height of a pole across a road, Justin takes two measurments. he stands at Point A directly across from the bass of the pole and determines that the angle of elevation to the top of the pole is 15.3 degrees. he then … 
math
a flagpole is 25 feet tall. a truck runs into the pole and bends it at the very bottom of the pole but the rest of the pole remains straight. after the accident we measure the angle of elevation to the top of the pole from a point … 
maths
Two vertical poles, 3m and 7m long are on the same straight line with a point P on the ground. The shorter pole is 20m from P and the longer pole. The angle of elevation of the top T of the longer pole from the top R of the shorter … 
Trig
A vertical pole stands on a 20° slope from 50 m down the slope from the pole the angle of elevation of the top of the pole is 35 degrees. How tall is the pole 
mathematics
a vertical pole stands on level ground. from a point on the ground, which is 15 meters away from the pole, the angle of elevation of its top is found to be 30 degrees.find the height of the pole? 
Geometry
A telephone pole is supported by a steel cable which extends from the top of the pole to a point on the ground 3 meters from its base. When Leah walks 2.5 meters from the base of the pole toward the point where the cable is attached … 
Geometry
What is the height of a pole standing 20 feet from the base of pole and measure the angle of the elevation to the top of the pole to be 54 degrees what's the height of the pole 
maths
from a point P on a level ground and directly west of a pole,the angle of elevation from the top of the pole is 045 and from point Q east of the pole the angle of elevation of the pole the angle of elevation of the top of the pole … 
math
A point P is 500m from the base of a pole. If the angle of elevation of the top of the pole to the point P is 40 degrees, find the height of the pole 
Angles of elevation and depression
The teet of two vertical poles of height 3m and 7m are in line with a point P on the ground. The smaller pole being between the taller pole and P and at distance of 20m from P the angle of elevation of the top T of the taller pole …