# college

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.

1. 👍 0
2. 👎 0
3. 👁 231
1. 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

1. 👍 0
2. 👎 0
posted by drwls

## Similar Questions

1. ### 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

asked by bearing on July 15, 2016
2. ### 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

asked by Derrick on May 3, 2013
3. ### 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

asked by darian on December 5, 2012
4. ### 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

asked by Emmanuel on June 6, 2017
5. ### Trigonometry

From the top of a building 85ft high, the angle of elevation of the top of a vertical pole is 11 degree 6'. At the bottom of the building the angle of elevation of the top of the pole is 26 degree 7'. Find the height of the pole

asked by Ayomide on April 21, 2017
6. ### math

Find the angle of elevation of the top of a vertical pole 23long from a point on the ground 10away from the foot of the pole l

asked by Gertrude on November 14, 2016
7. ### trigonometry

Solution of problem:from the top of a building 55 ft high, the angle of elevation of the top of a vertical pole is 12 degrees, At the bottom of the building, the angle of elevation of the top of the pole is 24 degrees. find the

asked by alex on December 4, 2015
8. ### 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?

asked by hindu priya on December 29, 2014
9. ### Math

The feet of two vertical poles of heights 3m and 7m are in line with a point P on the ground the smaller pole being between the taller pole and at a distance 20m from P.The angle of elevation of the top . T of the taller pole from

asked by Foluke on June 4, 2018
10. ### Precalculus

A pole sits on top of a tall building an observer on ground 17 m away from building finds the angle of elevation to the base of the pole to be 30 degrees and the angle of elevation to top of pole to be 45 degree. Find height of

asked by Zack on August 8, 2018

More Similar Questions