Posted by **Nick** on Tuesday, April 8, 2008 at 10:05pm.

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.

- trig -
**FredR**, Wednesday, April 9, 2008 at 2:23am
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)=(h-1.6)/P

## Answer This Question

## Related Questions

- trig - A geologist stands on the shore of a lake in Ontario with a theodolite ...
- science - Q1: What rock comes before quartzite in the rock cycle? What rocks or ...
- physics - a boy stands on a cliff overlooking a lake below. He throws a rock at ...
- science 6th grade - Q1: What rock comes before quartzite in the rock cycle? What...
- Science - A geologist finds a layer of rock that is made of medium-grained sands...
- Physics - a 3.7 kg dog stands on a 19 kg flatboat at distance D = 6.1 m from the...
- Calculus - The CN Tower is 553 m tall. A person is south of the tower, in a ...
- physics help - a 3.5 kg dog stands on a 21 kg flatboat at distance D = 6.1 m ...
- Social Studies - Lake Michigan and Lake Huron have the same surface elevation of...
- help - The CN Tower is 553m high. A person in a boat on Lake Ontario, at a point...

More Related Questions