Posted by **Teresa** on Friday, September 14, 2012 at 9:46pm.

a surveyor is trying to determine the change in hight h from the bottom to the top of a hill. If the height of instrument H is 4.5 ft the height of the object that he sights on the tower A is 6.5 ft and the zenith angle Z is 54deg 16' 25" determine the height of H (the hill) Assume that the horizontal distance (s) between the surveying instrument and the object (s) is 120.30 ft.

- Geodetic Survey -
**MathMate**, Saturday, September 15, 2012 at 3:17pm
Unless you're very experienced in the area, it would simplify your thought process by drawing a diagram as described by the question.

Here is more or less what you should have:

http://imageshack.us/a/img441/9503/1347673609.jpg

You will need to solve for the height H using the tangent/cotangent ratio.

The difference between the bottom and top of the hill is therefore

H + 4.5 - 6.5 feet.

## Answer this Question

## Related Questions

- math - A straight road up a hill has a slope of 1/4. From the bottom of the hil ...
- physics - The cart starts from rest at the top of a hill with height, H2. It ...
- physics - The cart starts from rest at the top of a hill with height, H1. It ...
- Physics - A kid slides down an icy (frictionless) hill starting from res. At the...
- 8th grade physical science - You are on roller blades on top of a small hill. ...
- physics - Assume the height of a hill is 50m, calculate: a.the velocity of a car...
- math - Mariano is standing at the top of a hill when he kicks a soccer ball into...
- PHYSICS - An 800.0 kg roller coaster car is at rest at the top of a 95 m hill. ...
- physics - 4. An 800.0 kg roller coaster car is at rest at the top of a 95 m hill...
- physics - Some children go tobogganing on an icy hill. The start from the rest ...

More Related Questions