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)

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