# A lamppost tilts toward the sun at a 2 degree angle from the vertical and casts a 25-foot shadow. The angle from the tip of the shadow to the top of the lamp post is 45 degrees. How do you find the length of the lamp post?

##### 1 Answer

Aug 3, 2015

Solve triangle

#### Explanation:

Call A the top of the lamp post, and B the tip of the shadow, and C the bottom of the lamp post. We have : angle C = 92 deg, since the post tilts 2 deg toward the sun.

Angle A = 180 - C - B = 180 - 92 - 45 = 43 deg

Use trig identity to find b, the length b of the lamp post.