trig
posted by Nick .
A geologist stands on the shore of a lake in Ontario with a theodolite and finds that the angle of inclination to the top of a distant rock pillar is 28.5 degrees. He then walks 10 m along the shore at a 90 degree angle to his measurment, and finds that the angle to the same point on the bottom of the rock pillar is 56.4 degrees. Find the height of the rock pillar in metres, given that the theodolite was 1.6 metres above the ground.

I'm not sure I understand what angle the 56.4 degrees represents, but assuming it is the difference in horizontal azimuth to the pillar from the 1st setup to the 2nd setup then solution is:
If the distance to the pillar is "P" then:
tan(56.4)=10/P or
P=10/tan(56.4)=6.6m
if the height of the pillar is "h", then:
tan(28.5)=(h1.6)/P
Respond to this Question
Similar Questions

help
The CN Tower is 553m high. A person in a boat on Lake Ontario, at a point B due south of the tower, observes the top (T) of the tower at an angle of elevation of 8 degrees. At the same time, another person, at a point C on a bearing … 
science 6th grade
Q1: What rock comes before quartzite in the rock cycle? 
science
Q1: What rock comes before quartzite in the rock cycle? 
trig
A geologist stands on the shore of a lake in Ontario with a theodolite and finds that the angle of inclination to the top of a distant rock pillar is 28.5 degrees. He then walks 10 m along the shore at a 90 degree angle to his measurment, … 
Physics
a 3.7 kg dog stands on a 19 kg flatboat at distance D = 6.1 m from the shore. It walks 2.6 m along the boat toward shore and then stops. Assuming no friction between the boat and the water, find how far the dog is then from the shore. … 
physics help
a 3.5 kg dog stands on a 21 kg flatboat at distance D = 6.1 m from the shore. It walks 2.3 m along the boat toward shore and then stops. Assuming no friction between the boat and the water, find how far the dog is then from the shore. … 
Calculus
The CN Tower is 553 m tall. A person is south of the tower, in a boat on Lake Ontario at a position that makes an angle of elevation of 100 degrees to the top of the tower. A second person is sitting on a park bench, on a bearing of … 
physics
a boy stands on a cliff overlooking a lake below. He throws a rock at an initial velocity of 8.0m/s,at an angle 25 degrees above the horizontal. The lake's surface is 4.5 m lower than the point the rock was released. Find the speed … 
Social Studies
Lake Michigan and Lake Huron have the same surface elevation of ___ feet 577? 
Science
A geologist finds a layer of rock that is made of mediumgrained sands and is porous. What type of rock did the geologist find?