Posted by **Brooke** on Monday, March 2, 2009 at 4:44pm.

from a window 35 meters high, the angle of depression to the top of a nearby street light is 55 degrees. The angle of depression to the base of the streetlight is 57.8. How tall is the streetlight?

- Math -
**Damon**, Monday, March 2, 2009 at 5:12pm
Start with the 57.8 degree angle and the 35 feet opposite the angle

tan 57.8 = 35/d

where d is the horizontal distance from the building to the light

d = 35 / tan 58.8 = 21.2 m

so then you have a second triangle up top with 55 degree angle, (35-h) opposite, and 21.2 adjacent so

tan 55 = (35-h)/21.2

35 - h = 30.3

h = 4.7 meters (about 15 feet)

## Answer This Question

## Related Questions

- PLZ HELP MATH - from a window 35 meters high, the angle of depression to the top...
- Math 11 - From a window in a building 20 m above ground the angle of depression ...
- geometry - From an apartment window 24 m above the ground, the angle of ...
- Precalculus - 1. A man stands 12 feet from a statue. The angle of elevation from...
- math - a light house has an angle of depression from the top of 34 degrees and ...
- Grade 11 Math - From a window in apartment building the angle of evaluation from...
- Math - from a lockout tower 25 meters high, a man observes from a position 1.70 ...
- Math - Ms hunt is standing on top of the building that is 135m tall. The angle ...
- trig - A woman that is 5'4" stands 15 ft from a streetlight and casts a four-...
- Pre-Algebra - A 5-foot parking meter has a 4-foot shadow from a nearby ...

More Related Questions