Posted by **john** on Monday, February 11, 2013 at 11:25pm.

From a point A is 8.20 meters above level ground,the angle of elevation of the top of a building is 31degrees 20 min and the angle of depression of the base of the building is 12degree 50 min. Approximate the heighth of the building

- Pre cal -
**Steve**, Tuesday, February 12, 2013 at 12:22am
If the distance of A is d, and the building's height is h,

(h-8.2)/d = tan 31°20'

8.2/d = tan 12°50'

so, equating d,

(h-8.2)/tan 31°20' = 8.2/tan 12°50'

(h-8.2)/.6088 = 8.2/.2278

h = 30.11 m

## Answer this Question

## Related Questions

- Pre-Cal/Trig - Explain how to solve the following question. Surveying: From a ...
- Pre calculus - From h a point A that is 10 meters abov level ground, the angle ...
- precal - From a point B that is 9 meters above level ground , the angle of ...
- Pre-Calculus - 1.The angle of elevation to top of a building from a point on the...
- Math - from a lockout tower 25 meters high, a man observes from a position 1.70 ...
- Precalculus - 1. A man stands 12 feet from a statue. The angle of elevation from...
- Pre-Cal - Angles of elevation to an airplane are measured from the top and the ...
- Precalculus - To estimate the height of a building, two students find the angle ...
- Pre Calc - To determine the height of the Louisiana-Pacific (LP) Tower, the ...
- trigonometry - From a point 36 meters from a building and 2.3 meters above the ...

More Related Questions